Find
the net electric flux through the spherical closed surface shown in
the figure below. The two charges on the right are inside the
spherical surface. (Takeq1=+1.92nC,q2=+1.07nC,
andq3=-2.76nC.)
N
路 m2/C
An
uncharged nonconductive hollow sphere of
radius16.0cm
surrounds a17.0碌C
charge located at the origin of a cartesian coordinate system. A
drill with a radius of 1.00 mm is aligned along
thezaxis,
and a hole is drilled in the sphere. Calculate the electric flux
through the hole.
N路m2/C
(b) What total force was exerted on Arfeuille’s teeth during…
The following charges are located inside a submarine:6.80µC, ?9.00 µC, 27.0 µC, and?60µC.
(a) Calculate the net electric flux through the hull of the submarine.
N · m2/C
(b) Is the number of electric field lines leaving the submarine greater than, equal to, or less than the number entering it?
gr…
a) Determine a formula for the maximum height h, that a rocket will reach if launched vertically from the Earth’s surface with speed v_(0) (v_(esc)). Express in terms of v_(0), r_(E), M_(E), and G. Express you answer in terms of the variable v_(0), and constants, r_(E), M_(E), and G.
note: _(*) mea…
The tub of a washer goes into its spin cycle, starting from rest and gaining angular speed steadily for7.00s, at which time it is turning at6.00rev/s. At this point, the person doing the laundry opens the lid, and a safety switch turns off the washer. The tub smoothly slows to rest in12.0s. Through …
(a) Calculate the electric potential0.240cm from an electron.
V
(b) What is the magnitude of the electric potential difference between two points that are0.240cm and0.780cm from an electron?
V
(c) How would the answers change if the electron were replaced with a proton?
The sign of answer…
The
two charges in the figure below are separated
byd=3.00cm.
(Letq1=-12nC
andq2=25.0nC.)
(a) Find the electric potential at pointA.
kV
(b) Find the electric potential at pointB, which is
halfway between the charges.
kV
Given two particles withQ=4.20-ÂľC charges as shown in the figure below and a particle with chargeq=1.4010-18C at the origin. (Note: Assume a reference level of potentialV= 0 atr=
.)
(a) What is the net force exerted by the two 4.20-ÂľC charges on the test chargeq?
N
(b) What is the electric field…
PHYSICS 2210 -PRACTICE EXAM #3 1. A solid cylinder is pivoted about a frictionless axle as shown. A rope wrapped around the outer radius of 2 m exerts a downward force of 3 N. A rope wrapped around the inner radius of 0.7 m exerts a force of 8 N to the right. The moment of inertia of the cylinder is 8 kg m . Find the angular acceleration. 2 2. If the cylinder in problem 1 is initially at rest, how long will it take for the cylinder to turn one revolution? 3. A uniform rod of mass M and length L is free to rotate about a pivot at the left end. It is released from rest in the horizontal position (q = 90 ). What is the torque on the rod when it makes an o angle q with the vertical? 4. In problem 3, what is the downward linear acceleration of the right end of the rod when it is first released (at q = 90 )? o 5. Find the kinetic energy of a solid sphere of mass 0.5 kg and radius 10 cm that rolls without slipping on level ground at 12 m/s. 6. If the sphere in problem 5 rolls up a hill, how far above the ground will the sphere climb before it rolls back down? 7. A solid disk of radius 5 m and mass 8 kg rotates clockwise at 1.5 rad/s. Above this disk is a hoop of radius 2.5 m and mass 8 kg, rotating counterclockwise at 3 rad/s. The hoop drops down onto the disk, and friction causes them to rotate together. Find the final angular velocity. 8. In problem 7, find the kinetic energy lost in this collision. 9. A man tries to raise a 75 kg flagpole that is attached to the ground by a frictionless pivot. The pole is 6 m long. The man pulls on a rope attached to the top of the pole with a force of 255 N. Find the net torque on the flagpole. 10. Find the angular acceleration of the flagpole in problem 9. 11. The man in problem 9 changes his force so the pole is at rest in static equilibrium. Find the tension in the rope, and the horizontal and vertical forces at the flagpoleâs pivot. 12. A 1.5 kg frog sits at rest on top of a solid disk. The disk’s mass is 4 kg, its radius is 1.25…
The
three charged particles in the figure below are at the vertices of
an isosceles triangle (whered=1.80cm).
Takingq=6.30ÂľC,
calculate the electric potential at pointA,
the midpoint of the base.
V
A pendulum has a length of 0.3 meter and the acceleration of gravity is 9.8 m/s squared. Use the formula T = 2p vl/g to find the following values:
a. the period of the pendulum
b. the frequency of the pendulum
A rod of lengthLlies along thexaxis with its left end at the origin. It has a nonuniform charge density?=?x, where?is a positive constant.
(a) What are the units of?? (Use SI unit abbreviations as necessary.)
[?] =
(b) Calculate the electric potential atA. (Use any variable or symbol stated abov…
A disk7.97cm in radius rotates at a constant rate of1160rev/min about its central axis.
(a) Determine its angular speed.
rad/s
(b) Determine the tangential speed at a point3.08cm from its center.
m/s
(c) Determine the radial acceleration of a point on the rim.
km/s2
(d) Determine the total dis…
Rigid rods of negligible mass lying along theyaxis connect three particles. The system rotates about thexaxis with an angular speed of3.00rad/s.
(a) Find the moment of inertia about thexaxis.
kg 路 m2
Find the total rotational kinetic energy evaluated from
| 1 |
| 2 |
I?2.
J
(b) Fin…
A)x=0cm
magnitude=?
direction?
B)x=6.0 cm
magnitude=?
direction=?
(a) What is the magnitude of the net magnetic force that acts on the particle?
N
(b) What is the angle that the net force makes with respect to the +x axis?
Ă°
The potential in a region betweenx= 0 andx= 6.00 m isV=a+bx, wherea=19.8V andb=-7.70V/m.
(a) Determine the potential atx= 0.
V
Determine the potential atx= 3.00 m.
V
Determine the potential atx= 6.00 m.
V
(b) Determine the magnitude and direction of the electric field atx= 0. …
| magnitude | V/m |
If the amplitude of motion is 3.8 cm, and the engine runs at 1500 rpm, find the maximum acceleration of the pistons.
Find their maximum speed.
the change in volume of a liquid.
the change in length of a metal rod.
the change in mass of a solid.
the change in pressure of a gas at constant volume.
2. What is the density of radon gas at 0 degrees celcius and 1 atmosphere?
3. A slippery cork is being pressed into a very full (but not 100% full) bottle of wine. When released, the cork slowly slides back out. However, if some wine is removed from the bottle before the cork is inserted, the cork does not slide out. Account for these observations in terms of the ideal gas law.
The answer is not .66s
The velocity of particle 1 is v1(t)=2i-tj and the velocity of particle 2 is v2(t)=-2i+tj. At t=0, particle 1 is at x=0, y=0. At t=2, find r12, the position of particle 1 with respect to particle 2.
a.When it is empty and floating on the surface.
b. When it is full of cargo, fully submerged, and resting on the…
KUVEMPU UNIVERSITY OFFICE OF THE DIRECTOR DIRECTORATE OF DISTANCE EDUCATION Jnana Sahyadri, Shankaraghatta – 577 451, Karnataka Phone: 08282-256426; Fax: 08282-256370; Website: www.kuvempuuniversitydde.org E-mails: ssgc@kuvempuuniversity.org; info@kuvempuuniversitydde.org TOPICS FOR INTERNAL ASSESSMENT ASSIGNMENTS (2010-11) Programme: M.Sc. PHYSICS (Previous) Note: Students are advised to read the separate enclosed instructions before beginning the writing of assignments.
KUVEMPU UNIVERSITY OFFICE OF THE DIRECTOR DIRECTORATE OF DISTANCE EDUCATION Jnana Sahyadri, Shankaraghatta – 577 451, Karnataka Phone: 08282-256426; Fax: 08282-256370; Website: www.kuvempuuniversitydde.org E-mails: ssgc@kuvempuuniversity.org; info@kuvempuuniversitydde.org TOPICS FOR INTERNAL ASSESSMENT ASSIGNMENTS (2010-11) Programme: M.Sc. PHYSICS (Previous) Note: Students are advised to read the separate enclosed instructions before beginning the writing of assignments. Out of 15 Internal Assignment marks per paper, 5 marks will be awarded for regularity (attendance) to Counseling/Contact Programme/Practical classes pertaining to the paper. Therefore, the topics given below are only for 10 marks each paper. Paper I: MATHEMATICAL METHODS AND CLASSICAL MECHANICS 1. a) A projectile is fired uphill over ground with slope at an angle ? to the horizontal. Find the direction in which it should be aimed to achieve the maximum range. 03 marks b) A particle describes the curve r n ? an cos n? under a force p towards the pole. Find the law of force? 02 marks 2. a) Using the complex variable techniques, evaluate the real integral ? ? ? ? ? d ? 20 25 4cos sin 03 marks b) Show that if im? m Q ?e? is a single valued, then m is an integer. 02 marks Paper II: QUANTUM AND STATISTICAL MECHANICS 1. A quantum particle confined to one dimensional box of width ‘a’ is in its first exited state. What is the probability of finding the particle over an interval of (a/2) marked symmetrically at the centre of the box. 04 marks 2. Give the two normalized but non-orthogonal eigen function ? e?r ? ? 1 and ? re?r ? ? 31 . Construct a new function ? which is orthogonal to the first function and is normalised. 03 marks 3. Show that the entropy at absolute zero in a canonical ensambles can be expressed as 0 s ? k log g . Where 0 g is statistical weight of the ground state. 03 marks
2 Paper III: SOLID STATE PHYSICS 1. Show that the occupation probability at is equal to the nonoccupation probability…
(hint for question 2 : under shear stress a dislocation moves a distance L through the crystal)
(hint for question 2 : under shear stress a dislocation moves a distance L through the crystal)
A 40-g block of ice is cooled to
-68째C
and is then added to 610 g of water in an 80-g copper calorimeter at a temperature of 28째C. Determine the final temperature of the system consisting of the ice, water, and calorimeter. (If not all the ice melts, determine how much ice is left.) Reme…
a.) What volume of water is displaced by the rock?
1 L
b.) What mass of water is displaced by the rock?
2 kg
c.) What is the buoyant force on the rock?
3 N
A) what is the magnitude of the electric field within the cell membrane? units are N/C
B)Find the magnitude of the electric force that would be exerted on a potassium ion(K+;charge=+e) placed inside the membrane.units N
If all of the released energy goes into kinetic energy of the neutron, find its relativistic mass, velocity, and momentum
Answer in units of A m^2
Is it behind or infront of the lens?
Problem 1 (10 marks) Copper has a density of 8940 kg/m3, a Young’s modulus of 117 GN/m2, and a Poisson’s ratio of 0.34. Calculate: a) The shear modulus; b) The bulk modulus; c) The longitudinal wave velocity; d) The shear wave velocity.
Problem 1 (10 marks) Copper has a density of 8940 kg/m3, a Young’s modulus of 117 GN/m2, and a Poisson’s ratio of 0.34. Calculate: a) The shear modulus; b) The bulk modulus; c) The longitudinal wave velocity; d) The shear wave velocity. Problem 2 (10 marks) Bakclite has a density of 1400 kg/m3 and an acoustic impedance of3630 x 103 kg/sm2⢠a) What is the velocity of a longitudinal wave in Bakelite? b) What is the wavelength of a longitudinal ultrasonic wave in Bakelite if the frequency is 10 MHz? c) If Bakelite is placed between a probe and a piece of steel, which has an acoustic impedance of 46488 x 103 kg/sm2, how much of the longitudinal wave will penetrate the steel when the beam is transmitted vertically?
Problem 3 (10 marks) A circular probe with a diameter of 16 mm uses a 4 MHz transverse wave in steel. Use Ermolov’s equations to calculate the following, assuming that the velocity in steel is 3.235 mm/fls, and the attenuation coefficient is 0.04 nepers/mm: (a) the amplitude ofthe back wall echo as a fraction of the transmitted pulse when the back wall is a distance of 40 mm from the transmitter; (b) the height ofthe pulse be that is reflected from a circular reflector with a diameter of I mm at a depth of 15 mm. Problem 4 (10 marks) Three common flaws found in welds are slag inclusions, gas pores and cracks. Describe the way in which each of these may occur, and sketch the waveforms that would be found during an ultrasonic test using an A-scan with the probe at position A, Band C as shown below.”””L A SLAG u B C [J Figure I A scans of samples with slag, a gas pore and a crack PORE CRACK 14J o Problem 5 (10 marks) The attenuation coefficient of steel is known to be 0.26 dB/mm for longitudinal waves at 2 MHz. If a block of steel, 50 mm thick is tested, the required amplification of the back wall echo is 37.6 dB. Now a block of cast iron, 50 mm thick, is tested using the same probes and couplant and the required amplification of the back wall echo is found to…
A tennis player receives a shot with the ball (0.0600 kg) traveling horizontally at60.0m/s and returns the shot with the ball traveling horizontally at34.0m/s in the opposite direction. (Assume the initial direction of the ball is in the –xdirection.)
(a) What is the impulse delivered to the ball…
(c7p51) In a popular amusement park ride, a rotating cylinder of radius 3.9 m is set in rotation at an angular speed of 3.0 rad/s, as in Figure P7.51. The floor then drops away, leaving the riders suspended against the wall in a vertical position. What minimum coefficient of friction between a …
It can be shown that for a uniform sphere the force of gravity at a point inside the sphere depends only on the mass closer to the center than that poi…
A bag of cement weighing 275 N hangs in equilibrium from three
wires. Two of the wires make angles ?1 =
61.0째 and
?2 = 44.0째 with the horizontal. Assuming the
system is in equilibrium, find the tensions T1,
T2, and T3 in the
wires.
| T1 = | 1N |
| T2 = | 2N |
| T3 = | 3 N |
I = III > II = IV > V
Ranking the situation on basis of the tension in the string
between the blocks, why is this ranking true?
Metric System
Problem: 1.2.6
The diameter of an aluminum atom is about 0.24 nm, and the nuclear diameter is about 7.2 fm (femtometer = 10-15 meter). (a) If the atom’s diameter were expanded to the length of an American football field (91.44 m) and the nuclear diameter expanded proportionally, what would be the nuclear diameter in meters? (b) Is the saying that “the atom is mostly empty space” confirmed by these figures?
(a) m (b) Yes No Problem: 1.8.2
Freefall acceleration g is the acceleration due to gravity. It equals 9.80 meters per second squared near the Earth’s surface.
Metric System
Problem: 1.2.6
The diameter of an aluminum atom is about 0.24 nm, and the nuclear diameter is about 7.2 fm (femtometer = 10-15 meter). (a) If the atom’s diameter were expanded to the length of an American football field (91.44 m) and the nuclear diameter expanded proportionally, what would be the nuclear diameter in meters? (b) Is the saying that “the atom is mostly empty space” confirmed by these figures?
(a) m (b) Yes No Problem: 1.8.2
Freefall acceleration g is the acceleration due to gravity. It equals 9.80 meters per second squared near the Earth’s surface. (a) What does it equal in feet per second squared? (b) In miles per second squared? (c) In miles per hour squared?
(a) ft/s2 (b) mi/s2 (c) mi/h2 Problem: 1.8.4
You are on the phone with a friend in Greece, who tells you that he has just caught a fish L cm long in the Mediterranean Sea. Assuming he is telling the truth, what is the length of the fish in inches?
in Problem: 1.8.7
Mercury orbits the Sun at a mean distance of 57,900,000 kilometers. (a) What is this distance in meters? Use scientific notation to express your answer and state it with three significant figures. (b) Pluto orbits at a mean distance of 5.91×1012 meters from the Sun. What is this distance in kilometers?
(a) m (b)
Problem: 1.8.8
In 2003, Bill Gates was worth 40.7 billion dollars. (a) Express this figure in dollars in scientific notation. (b) Assume a dollar is worth 2,060 Italian lire. State Bill Gates’s net worth in lire in scientific notation.
(a) dollars (b) lire
Dimensional Analysis
Problem: 1.10.2
The dimensions for force are the product of mass and length, divided by time squared. Newton’s law of gravitation states that the gravitational force between two objects equals a constant, G, times the product of the mass of each object, divided by the square of the distance between them. What must the dimensions of the constant be?
L3/MT2 L2/T3 M2T Problem: 1.10.4
The kinetic energy of…
How
fast can you set the Earth moving? In particular, when you jump
straight up as high as you can, what is the maximum recoil speed
that you give to the Earth? Let your mass
be81.0kg
and your maximum jump height be0.300m.
m/s
1) Calculate the per capita energy use for China and India. The populations of each country should be obtained from reliable sources. Express your final answer in units of kcal per day per person.Residential %CommercialIndustrialTransportationElectricalTotal QuadChina7.43.047.17.446.059.6India11.73.240.99.748.115.42) Using reliable sources, write a summary of the concept of energy return on energy invested (EROEI). Provide some estimates of the EROEI for petroleum extraction from tar sands. Please also report on the EROEI of shale natural gas.3) The US currently uses about 27 quad of energy for transportation per year, nearly all of which comes from petroleum. The Alaskan oil fields are estimated to have as much as 64 quad of oil. How many years could the Alaskan oil reserves supply US transportation needs at the current rate of use? Some analysts estimate that cars and trucks could be made 60% more efficient than they are currently. How long will the Alaskan oil reserves last if the annual transportation energy demand is reduced by 60%?4) Please read the article attached. Summarize the article in your own words (provide a one-page report). End your report with a brief statement of your personal thoughts after reading the article.
What is the frequency of this motion?
When is the mass first at the position x = -5.0cm?
A small piece of Styrofoam packing material is dropped from a height of 2.40 m above the ground. Until it reaches terminal speed, the magnitude of its acceleration is given by a = g ? Bv. After falling 0.400 m, the Styrofoam effectively reaches terminal speed, and then takes 5.30 s more to reach th…
The distance between slits in a double-slit experiment is increased by a factor of 2. If the distance between fringes is small compared to the distance from the slits to the screen, the distance between adjacent fringes near the center of the interference pattern _______.
does it increase /decrease…
A
rotating wheel requires2.90s
to rotate through 37.0 revolutions. Its angular speed at the end of
the2.90s
interval is98.2rad/s.
What is the constant angular acceleration of the
wheel?
rad/s2
If the mass is displaced 0.252 m from equilibrium and released, what is its speed when it is 0.110 m from equilibrium?
What is the frequency of this motion?
When is the mass first at the position x = -5.0cm?
A
dentist’s drill starts from rest.
After2.80s
of constant angular acceleration, it turns at a rate
of2.46104rev/min.
(a) Find the drill’s angular acceleration.
rad/s2(along the axis of
rotation)
(b) Determine the angle through which the drill rotates during this
period.
rad
The figure below shows three loop models of an electron orbiting counterclockwise within a magnetic field. The fields are nonuniform for models 1 and 2 and uniform for model 3. Assume that the loops are replaced with paramagnetic spheres.
(a) For each model, what is the direction of the magnetic …
(b) How much additional time would be required for the fish’s speed to double again?
_ s
In Fig. 32-34. = 110 V, R1 = 10.0 , R2 = 17.0 , R3 = 30.0 , and L = 2.40 H.
(a) Find the values ofi1andi2immediately after the closing of switchS.
A (i1)
A (i2)
(b) Find the values ofi1andi2a long time after the closing of switchS.
A (i1)
A (i2)
(c) Find the values ofi1andi2im…
What is the maximum speed of the mass?
How far is the mass from the equilibrium position when its speed is half the maximum speed?
If the mass of the disk were doubled but its radius and angular velocity were kept the same, the precession frequency would
increase.
decrease.
stay the same.
A particular tower clock similar to Big Ben has an hour hand 2.70 m long with a mass of50.0kg, and a minute hand4.45m long with a mass of 100 kg. Calculate the total rotational kinetic energy of the two hands about the axis of rotation. (You may model the hands as long thin rods.)
Your response …
This happens because the helium atom has more neutrons.
This happens…
A) For that interval, determine the sign of the work done on the person by:
the earth
the trampoline
Explain your reasoning.
B) Is the magnitude of the work done on the person by the trampoline greater than, less than, or equal to the magnitude of the work done on the person by the earth? Explain.
…
A dedicated sports car enthusiast polishes the inside and outside surfaces of a hubcap that is a section of a sphere. When he looks into one side of the hubcap, he sees an image of his face30.0cm in back of the hubcap. He then turns the hubcap over, keeping it the same distance from his face. He now…
A box of mass m1 = 3.0kg sits on a horizontal frictionless surface. It is connected by a cord of negligible mass to a box of mass m2 = 1.0kg. The second box sits on a frictionless inclined plane at an angle teta = 30degrees. The cord connecting the boxes runs over a frictionless pulley of negligibl…
How fast is the car moving at the top of the 10.0-m hill if friction is ignored?
A.
6.4 m/s
B.
8.1 m/s
C.
13 m/s
D.
18 m/s
E.
27 m/s
Abington Heights High School
Physics L-2
Chapter 6 – Practice Quiz 5
Select the answer that best completes the question.
1.
A 3.0-kg block falls from rest through a distance of 6.0 m in an evacuated tube near the surface of the earth. What is its speed after it has fallen the 6.0 m distance?
A.
8.0 m/s
B.
11 m/s
C.
13 m/s
D.
26 m/s
E.
120 m/s
2.
A bicyclist is traveling at a speed of 20.0 m/s as he approaches the bottom of a hill. He decides to coast up the hill and stops upon reaching the top. Determine the vertical height of the hill.
A.
28.5 m
B.
3.70 m
C.
11.2 m
D.
40.8 m
E.
20.4 m
3.
A skier leaves the top of a slope with an initial speed of 5.0 m/s. Her speed at the bottom of the slope is 13 m/s. What is the height of the slope?
A.
1.1 m
B.
4.6 m
C.
6.4 m
D.
7.3 m
E.
11 m
4.
A roller coaster starts from rest at the top of an 18-m hill as shown. The car travels to the bottom of the hill and continues up the next hill that is 10.0 m high. How fast is the car moving at the top of the 10.0-m hill if friction is ignored?
A.
6.4 m/s
B.
8.1 m/s
C.
13 m/s
D.
18 m/s
E.
27 m/s
5.
An engineer is asked to design a playground slide such that the speed a child reaches at the bottom does not exceed 6.0 m/s. Determine the maximum height that the slide can be.
A.
1.8 m
B.
2.9 m
C.
3.2 m
D.
4.5 m
E.
14 m
6.
A care package is dropped from rest from a helicopter hovering 25 m above the ground.What is the speed of the package just before it reaches the ground? Neglect air resistance
A.
22 m/s
B.
16 m/s
C.
12 m/s
D.
8.0 m/s
E.
5.0 m/s
7.
A block of mass m is released from rest at a height R above a horizontal surface. The acceleration due to gravity is g. The block slides along the inside of a frictionless circular hoop of radius R.
R-1 Ref 6-2
Which one of the following expressions gives the speed of the mass at the bottom of the hoop?
A.
zero m/s2
B.
v = mgR
C.
D.
E.
v2 = 2gR
8.
A block of…
Enter your answers numerically separated by a comma. Express your answers using two significant figures
In considering the energy supply for an automobile, the energy per unit mass of the energy source is an important parameter. The “heat of combustion” or stored energy per mass is quite similar for gasoline, ethanol, diesel fuel, cooking oil, methane, and propane. For a broader perspective, compare …
By what percent and in what direction does the period of oscillation change when a 111kg person rides the motorcycle?
The track is frictionless.
If train a travels at 50mph to New York from Georgia, how long would it take and when would it get there?
g
KUVEMPU UNIVERSITY OFFICE OF THE DIRECTOR DIRECTORATE OF DISTANCE EDUCATION Jnana Sahyadri, Shankaraghatta – 577 451, Karnataka Phone: 08282-256426; Fax: 08282-256370; Website: www.kuvempuuniversitydde.org E-mails: ssgc@kuvempuuniversity.org; info@kuvempuuniversitydde.org TOPICS FOR INTERNAL ASSESSMENT ASSIGNMENTS (2010-11) Programme: M.Sc. PHYSICS (Previous) Note: Students are advised to read the separate enclosed instructions before beginning the writing of assignments.
KUVEMPU UNIVERSITY OFFICE OF THE DIRECTOR DIRECTORATE OF DISTANCE EDUCATION Jnana Sahyadri, Shankaraghatta – 577 451, Karnataka Phone: 08282-256426; Fax: 08282-256370; Website: www.kuvempuuniversitydde.org E-mails: ssgc@kuvempuuniversity.org; info@kuvempuuniversitydde.org TOPICS FOR INTERNAL ASSESSMENT ASSIGNMENTS (2010-11) Programme: M.Sc. PHYSICS (Previous) Note: Students are advised to read the separate enclosed instructions before beginning the writing of assignments. Out of 15 Internal Assignment marks per paper, 5 marks will be awarded for regularity (attendance) to Counseling/Contact Programme/Practical classes pertaining to the paper. Therefore, the topics given below are only for 10 marks each paper. Paper I: MATHEMATICAL METHODS AND CLASSICAL MECHANICS 1. a) A projectile is fired uphill over ground with slope at an angle ? to the horizontal. Find the direction in which it should be aimed to achieve the maximum range. 03 marks b) A particle describes the curve r n ? an cos n? under a force p towards the pole. Find the law of force? 02 marks 2. a) Using the complex variable techniques, evaluate the real integral ? ? ? ? ? d ? 20 25 4cos sin 03 marks b) Show that if im? m Q ?e? is a single valued, then m is an integer. 02 marks Paper II: QUANTUM AND STATISTICAL MECHANICS 1. A quantum particle confined to one dimensional box of width ‘a’ is in its first exited state. What is the probability of finding the particle over an interval of (a/2) marked symmetrically at the centre of the box. 04 marks 2. Give the two normalized but non-orthogonal eigen function ? e?r ? ? 1 and ? re?r ? ? 31 . Construct a new function ? which is orthogonal to the first function and is normalised. 03 marks 3. Show that the entropy at absolute zero in a canonical ensambles can be expressed as 0 s ? k log g . Where 0 g is statistical weight of the ground state. 03 marks
2 Paper III: SOLID STATE PHYSICS 1. Show that the occupation probability at is equal to the nonoccupation probability…
Big Ben, the Parliament Building tower clock in London, has hour and minute hands with lengths of 2.70 m and 4.50 m and masses of 60.0 kg and 100 kg, respectively. Calculate the total angular momentum of these hands about the center point. Treat the hands as long, thin uniform rods. =kg路m2/s—Se…
A block of mass 2 kg is initially moving with speed 4m/sec at point A on a smooth inclined plane with andle 60 degrees to the horizontal. At point B on the plane (1m down the plane from point A), its speed is vb. Find vb.
Explain your answer.
(b) What happens to the direction of the force if both the current and the magnetic poles are reversed?
the wire will be pushed upwards
the wire will be pushed downwards
the wire will be pushed to the left
the wire will be pushed to the right
Explain your answer.
(b) If the coefficient of friction is 0.41 and the cylinder has a radius of 2.2 m, what is the minimum angular speed of the cylinder so that the people don’t fall out? (Normally the operator runs it considerably faster as a safety measure.)
answer in rad/s
The Picture is attached.
| F1 = | 1 |
| F2 = | 2 |
When you touch a cold piece of ice with your finger, energy flows
From you finger to the ice
From the ice to your finger
Actually, both ways
a substance that heats up relatively quickly has a
high specific heat
low conductivity
high conductivity
low specific heat
Heat energy is measured in units of
Calories
Joules
Choices a and b are both true
Choices a and b are both false
the moderate temperatures of islands throught the world has much to do with waterâs
high evaporation rate
poor conductivity
absorption of solar energy
vast supply of internal energy
high specific heat
ice has a lower density than water because ice
is made of open-structured, hexagonal crystals
density decreases with decreasing temperature
molecules are more compact in solid state
sinks
molecules vibrate at lower rates than water molecules
when an iron is heated, the hole becomes
smaller
larger
neither smaller nor larger
either smaller or larger, depending on the ring thickness
when a bimetallic bar made of copper and iron strips is heated, the bends toward the iron strip. The reason for this is.
Copper gets hotter before iron
Copper expands more than iron
Iron gets hotter before copper
Iron expands more than copper
None of these
during a very cold winter, water pipes sometimes burst, the reason for this is
at the thawing process releases pressure on the pipes
the ground contracts when colder, pulling pipes apart
water expands when freezing
water contracts when freezing
none of these
aluminum has a specific heat capacity more than twice that of copper. Place equal masses of aluminum and copper wire in flame and the one to undergo the fastest increase in temperature will be
copper
aluminum
both the same time
the white- hot sparks that strike your skin from 4th of july type sparker donât harm you because
the energy per molecule is high, but little energy is transferred because of the few molecules in the spark
they have a low…
please show the physics diagram and all steps
PHY 372, HW #11. [analytical] Three particles have the following positions and velocities:m1 = m2 = 1 kg, m3 = 2 kg. (a) Find the position and velocity of the center of mass of the three particles. (b) Find the linear momentum of the system.(c) Find the kinetic energy of the system.(d) Find the value of mvcm2/2(e) Find the angular momentum about the origin2. [analytical] A fire boat draws water from a bay through a vertical inlet and sprays it out at a rate of 7 m/s horizontally. The diameter of the nozzle of the fire hose is 20 cm. Calculate the horizontal force from the propellers necessary to keep the boat stationary. The density of water is 1020 kg/m3.3. [analytical] A lunar landing craft is hovering over the Moonâs surface. One-third of its mass is fuel, while the exhaust velocity u is 1200 m/s. How long will it take before the craft runs out of fuel? Assume that the acceleration due to gravity on the surface of the Moon is one-sixth that on Earth.
cm
(b) What is its wavelength?
cm
(c) What is its period?
s
(d) What is its speed?
cm/s (e) In which …
How much ice remains, if any?
Express your answer to two significant figures and include the appropriate units
What is the angle between F and d ?
Express your answer to two …
How much work is done on the skater by the wall?
What is the force on the block by the spring when…
A 95-g bullet is fired from a rifle having a barrel 0.570 m long. Choose the origin to be at the location where the bullet begins to move. Then the force (in newtons) exerted by the expanding gas on the bullet is 15150 + 9900x – 24500x2, where x is in meters.
(a) Determine the work done by the gas …
Question No 2.
A table with smooth horizontal surface is turning at an angular speed ? about its axis.
Assignment No 2 PHY183
Submission date: 5th March
Note: Class Test will be also held on same date and it will be entirely based on this assignment.
Question No 1.
A particle is moving in circle of radius R. At time t its position in polar co-ordinate system is ( r,?). Write unit vector along radial and ? direction.
Also, show that
Question No 2.
A table with smooth horizontal surface is turning at an angular speed ? about its axis. A groove is made on the surface along a radius and a particle is gently placed inside the groove at a distance a from the centre. Find the speed of the particle as its distance from the centre becomes L.
Question No 3.
A particle is moving on some curved surface , at time t it’s position is shown in figure 1 below. For simplicity take polar co-ordinate system so that it’s co-ordinate is (r,?).
Prove that it’s acceleration is given as
Simplify above equation for circular motion
Figure 1
Question No 4.
A stone is thrown from the top of a building upward at an angle of 30.0° to the horizontal and with an initial speed of 20.0 m/s. If the height of the building is 45.0 m,
how long is it before the stone hits the ground?
What is speed of the stone just before it strike the ground?
Where does the stone strike to ground ?
Question No 5.
As some molten metal splashes , two droplet flies in opposite direction as shown in figure. Find the distance between droplet as function of time. In terms of given parameters in figure.
equation for circular motion
Figure 1
Question No 4.
A stone is thrown from the top of a building upward at an angle of 30.0° to the horizontal and with an initial speed of…
(a) What is the magnitude ? of the torque required to bring the smaller sphere from rest to an angular speed of 317 rad/…
What is the smallest value of sufficient to cause the pendulum (with emb…
A marble of mass m = 758 g and radius r = 21.0 cm rolls along the
looped rough track of the figure below.
The loop has a radius of R = 2.09 m. What is the minimum value of h
if the marble is to reach the highest point of the loop without
leaving the track?
A conical pendulum consists of a ball of mass m on a cord of length L; the ball is moving in a horizontal circle (radius r) with constant speed v, and the cord makes an angle of θ with the horizontal. Find the tension in the cord (in terms of L, v, m, and θ)
after inhaling
…
Find
the net torque on the wheel in the figure below about the axle
throughO,
takinga=13.0cm
andb=28.0cm.
(Assume that the positive direction is
counterclockwise.)
N
路 m
if (this is an example) \(\int_{}^{}dy=\int_{}^{}2x \) Then \(\int_{}^{}((\lambda)/(2\pi\epsilon0r))*dr = \int_{}^{}?\) (The E0 is suppose to be Epilson sub Zero if there is any confussion)
Determine
the number of revolutions through which a typical automobile tire
turns in 1 yr. Suppose the automobile
travels11000miles
each year on tires with radius0.255m.
11046.62
Your response is off by a multiple of ten.revolutions
A cylinder of mass10.0kg rolls without slipping on a horizontal surface.
(a) At the instant its center of mass has a speed of15.0m/s, determine the translational kinetic energy of its center of mass.
J
(b) What is the rotational kinetic energy about its center of mass?
J
(c) What is its total e…
(a) Find the maximum height of the ball above the ground.
answer= 4.10m
(b) Calculate the speed of the ball at the highest point in the trajectory.
in m/s
An 6.16g bullet is fired into a 290g block that is initially at rest at the edge of a table of h = 1.12 m height (see the figure below). The bullet remains in the block, and after the impact the block lands d = 2.20 m from the bottom of the table. How much time does it take the block to reach the gr…
The
fishing pole in Figure P10.20 (F=108N
,=2.10m)
makes an angle of 20.0掳 with the horizontal. What is the torque
exerted by the fish about an axis perpendicular to the page and
passing through the fisher’s hand?
magnitude
N路mdirection
counterclockwiseclockwise
A student sits on a freely rotating stool holding two weights, each of mass3.00kg. When his arms are extended horizontally, the weights are0.99m from the axis of rotation and he rotates with an angular speed of0.755rad/s. The moment of inertia of the student plus stool is3.00kg路m2and is assumed to…
What is the period of your heartbeat?
What is the frequency of your heartbeat?
A playground merry-go-round of radiusR=2.00m has a moment of inertiaI=255kg路m2and is rotating at9.0rev/min about a frictionless vertical axle. Facing the axle, a23.0kg child hops onto the merry-go-round and manages to sit down on its edge. What is the new angular speed of the merry-go-round?
rev/m…
When a mass m sits at
rest on a spring, the spring is compressed by a distance d from its undeformed length (Fig. a). Suppose instead that the
mass is released from rest when it barely touches the undeformed spring (Fig. b). Find the distance D
that the spring is compressed before it is able to stop the mass. Does If not, why
not?
Determine
the number of revolutions through which a typical automobile tire
turns in 1 yr. Suppose the automobile
travels11000miles
each year on tires with radius0.255m.
revolutions
Anita is running to the right at 5 , as shown in the figure. Balls 1 and 2 are thrown toward her by friends standing on the ground. According to Anita, both balls are approaching her at 10 . According to her friends, with what speeds was the ball 1 thrown? According to her friends, with what speeds …
(a) Find x.
A skydiver deploys his parachute when he is 1020 directly above
his desired landing spot. He then falls through the air at a steady
4.3m/s . There is a breeze blowing to the west at 2.0m/s.
At what
angle with respect to vertical does he fall?
By what
distance will he miss his desired landing spot?
(a) Determine the force of tension in the rope supporting the leg.
N
(b) What is the traction force exerted to th…
cm
height
cm
Please write step by step solutions.Not just the answers only.Question 1A toroid of mean radius 24 cm and circular cross section of radius 2.5 cm is wound with a superconducting wire of length 1000 m that carries a current of 360 A. (a) What is the number of turns on the coil?(b) What is the magnetic field at the mean radius?T (c) Assuming that B is constant over the area of the coil, calculate the magnetic energy density um and the total energy Um stored in the toroid.um = J/m3 Um = kJ Question 2Three resistors (R1 = 120 Ohms, R2 = 330 Ohms, and R3 = 240 Ohms) and an ideal inductor (L = 1.6 mH) are connected to a battery (V = 9 V) through a switch as shown in the figure below. The switch has been open for a long time before it is closed at t = 0. At what time t0, does the current through the inductor (I3) reach a value that is 63% of its maximum value? t0 = s Question 3Figure 31-93 In Fig. 31-93, the component in the upper branch is an ideal 2.8 A fuse. It has zero resistance as long as the current through it remains less than 2.8 A. If the current reaches 2.8 A it ‘blows’ and thereafter has infinite resistance. Switch S is closed at time t = 0 . Use the numerical values : E=14 V, L=5.1 H. When does the fuse blow ? s Question 4If the current through an inductor were doubled, the energy stored in the inductor would be quadrupled. quartered. doubled. the same. halved. Question 5The current in a coil with a self-inductance of 1 mH is 2.3 A at t = 0, when the coil is shorted through a resistor. The total resistance of the coil plus the resistor is 15.0 . (a) Find the current after 0.5 ms. A (b) Find the current after 10 ms. A Question 6The current in an RL circuit is zero at time t = 0 and increases to half its final value in 3.8 s. (a) What is the time constant of this circuit?s (b) If the total resistance is 8 , what is the self-inductance?H Question 7A solenoid of 1900 turns, area 11 cm2, and length 30 cm carries a current of 4.0 A. (a) Calculate the magnetic energy…
A box of ant aunts m1 = 1.65kg and a box of ant uncles m2 = 3.30kg, slide down an inclined plane while attached by a massless rod parallel to the plane. The angle of the incline is zeta = 30 degree. The cefficient of the kinetic friction between the aunt box is u1 = 0.226, u2 = 0.113 for the uncle …
Please write step by step solutionsNot just the answers only.Question 1A square loop of wire is rotating around its vertical axis in a magnetic field of strength B = 0.06 T as shown in View A. The angular frequency of rotation is = 50 rad/s and the loop has a resistance of R = 5 . The length of one side of the square loop is W = 0.05 m. At the instant of time when the normal to the loop makes an angle of = 30 with respect to the B field, as shown in View B where ‘N’ represents the normal, calculate the current flowing in the loop. Note: View A would be the side view if = 90 or 270. I = A Question 2A 195 turn coil has an area of 4.9 cm2 and rotates in a magnetic field of 0.5 T. (a) What frequency will generate a maximum emf of 10 V?Hz [5 points] 0 attempt(s) made (maximum allowed for credit = 5) [after that, multiply credit by 0.5 up to 10 attempts] (b) If the coil rotates at 60 Hz, what is the maximum emf? V Question 3A circuit breaker is rated for a current of 15 A rms at a voltage of 240 V rms. (a) What is the largest value of Imax that the breaker can carry? A [5 points] 0 attempt(s) made (maximum allowed for credit = 5) [after that, multiply credit by 0.5 up to 10 attempts] (b) What average power can be supplied by this circuit? W Question 4An inductor has a reactance of 115 ohm at 80 Hz. (a) What is its inductance? H [5 points] 0 attempt(s) made (maximum allowed for credit = 5) [after that, multiply credit by 0.5 up to 10 attempts] (b) What is its reactance at 180 Hz? ohm Question 5At what frequency would the reactance of a 11 F capacitor equal that of a 1.4 mH inductor? Hz Question 6At what frequency is the reactance of a 3 F capacitor 20000 ? Hz Question 7Four resistors (R1 = 60 Ohms, R2 = 220 Ohms, R3 = 330 Ohms, and R4 = 480 Ohms), an ideal inductor (L = 8 mH), and a capacitor (C = 250 microF) are connected to a battery (V = 9 V) through a switch as shown in the figure below. The switch has been open for a long time before it is closed at t = 0. What is…
vx= 21m/s , vy = 39 m/s. Find the vector’s magnitude.
Express your answer using two significant figures.
=
Part B –
vx= 21m/s , vy = 39m/s . Find the vector’s direction.
Express your answer using two significant f…
(b) a proton
m
(b) Determine the magnification of the image.
(c) Construct a ray diagram for this arrangement.
1)What is the mag…
There is no slipping between the cord and the surface of the pulley for this atwood machine. The blocks have masses of 3.0 kg and 5.7 kg, and the pulley has a radius of 0.12m and mass of 10.3 kg. If the 5.7 kg block falls 1.5 m, find the speed of each block. As…
.28-kg stone is held 1.5 m above the top edge of a water well and then dropped into it. The well has a depth of 5.1 m.
(a) Relative to the configuration with the stone at the top edge of the well, what is the gravitational potential energy of the stone?Earth system before the stone is released.
1 J
…
a. Determine the speed of the projectile at the top of the trajectory.
b. Determine the speed at which it impacts the ground on its return. (N…
A uniform solid disk and a uniform hoop are placed side by side at the top of an incline of heighth. If they are released from rest and roll without slipping, which object reaches the bottom first?
solid diskuniform hoopit is a tie
Verify your answer by calculating their speeds when the reach …
I solved part of the question already. I got a magnitude of 10.31 N. I just need help with finding the direction
KUVEMPU UNIVERSITY OFFICE OF THE DIRECTOR DIRECTORATE OF DISTANCE EDUCATION Jnana Sahyadri, Shankaraghatta – 577 451, Karnataka Phone: 08282-256426; Fax: 08282-256370; Website: www.kuvempuuniversitydde.org E-mails: ssgc@kuvempuuniversity.org; info@kuvempuuniversitydde.org TOPICS FOR INTERNAL ASSESSMENT ASSIGNMENTS (2010-11) Programme: M.Sc. PHYSICS (Previous) Note: Students are advised to read the separate enclosed instructions before beginning the writing of assignments.
KUVEMPU UNIVERSITY OFFICE OF THE DIRECTOR DIRECTORATE OF DISTANCE EDUCATION Jnana Sahyadri, Shankaraghatta – 577 451, Karnataka Phone: 08282-256426; Fax: 08282-256370; Website: www.kuvempuuniversitydde.org E-mails: ssgc@kuvempuuniversity.org; info@kuvempuuniversitydde.org TOPICS FOR INTERNAL ASSESSMENT ASSIGNMENTS (2010-11) Programme: M.Sc. PHYSICS (Previous) Note: Students are advised to read the separate enclosed instructions before beginning the writing of assignments. Out of 15 Internal Assignment marks per paper, 5 marks will be awarded for regularity (attendance) to Counseling/Contact Programme/Practical classes pertaining to the paper. Therefore, the topics given below are only for 10 marks each paper. Paper I: MATHEMATICAL METHODS AND CLASSICAL MECHANICS 1. a) A projectile is fired uphill over ground with slope at an angle ? to the horizontal. Find the direction in which it should be aimed to achieve the maximum range. 03 marks b) A particle describes the curve r n ? an cos n? under a force p towards the pole. Find the law of force? 02 marks 2. a) Using the complex variable techniques, evaluate the real integral ? ? ? ? ? d ? 20 25 4cos sin 03 marks b) Show that if im? m Q ?e? is a single valued, then m is an integer. 02 marks Paper II: QUANTUM AND STATISTICAL MECHANICS 1. A quantum particle confined to one dimensional box of width ‘a’ is in its first exited state. What is the probability of finding the particle over an interval of (a/2) marked symmetrically at the centre of the box. 04 marks 2. Give the two normalized but non-orthogonal eigen function ? e?r ? ? 1 and ? re?r ? ? 31 . Construct a new function ? which is orthogonal to the first function and is normalised. 03 marks 3. Show that the entropy at absolute zero in a canonical ensambles can be expressed as 0 s ? k log g . Where 0 g is statistical weight of the ground state. 03 marks
2 Paper III: SOLID STATE PHYSICS 1. Show that the occupation probability at is equal to the nonoccupation probability…
You are looking down on a N = 22 turn coil in a magnetic field B = 1.3 T which points directly down into the screen. If the diameter of the coil d = 3.1 cm, and the field goes to zero in t = 0.36 seconds, what would be the magnitude of the voltage and direction of the induced current? Indicate the …
(a) For a point at the end of the rotor, find the initial speed.
105 m/s
(b) For a point at the end of the rotor, find the tangential acceleration component.
m/s2
(c) For a point at the end of the rotor, find the maximum radial acceleration component.
m/s2
The drawing below shows a copper wire (negligible resistance) bent into a circular shape with a radius of 0.451 m. The radial section BC is fixed in place, while the copper bar AC sweeps around at an angular speed of 15.2 rad/s. The bar makes electrical contact with the wire at all times. The wir…
particles p and q of masses 2m and m respectively are attached to a light inextensible string which passes over a smooth fixed pulley. They both hang at a distance of 2m above the ground. The system is released from rest. Given that Q doesn’t reach the pulley, find the greatest height it reaches above the ground