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Electric Potential - Physics - Exam Paper, Exams of Physics

Bhupendra Narayan Mandal University Physics

These are the notes of Exam Paper of Physics. Key important points are: Electric Potential, Expression for Electric Potential, Electric Field, Six Charged Particles, Parallel Plate Capacitor, Dielectric Constant, Direction of Flow

Typology: Exams

2012/2013

Uploaded on 02/08/2013

shashidhar_p43 🇮🇳

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- 3 -

TEST 2

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oonn

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ss ss

ssee

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ssss

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oonn

nn''''ss

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Partial preview of the text

Download Electric Potential - Physics - Exam Paper and more Exams Physics in PDF only on Docsity!

TEST 2

TTTThhhhiiiissss ttetteseessstttt iiiiss ossonoonnn tttthhhheeee ffffiiniinannalaalll sssseeeecctcctttiiiioooonnnnssss oofoof tffthtthihhiiissss sssseeeessssssssiiiioooonnnn''''ssss ssyssyyyllllllllaaaabbbbuuuussss aaaanndnnddd

sssshhohhouoouuulllldddd bbbbeeee aaaatttttttteemeemmmpppptttteeeedddd bbbbyyyy aalaalllllll ssssttuttuduudddeeeennnnttstts.ss...

QQQQUUEUUEEESSSSTTTTIIOIIONOONNN 1 111 [[[[MMMMaaaarrkrrkkkssss 1 111000 0]]]]

Six charged particles are arranged in a rectangle as in the diagram.

(a) Determine an expression for the electric potential at the point P in the centre of the rectangle. (b) Find an expression for the electric field at P and indicate its direction. (c) How much work must be done to bring a charge q from a large distance away and place it at P?

QQQQUUEUUEEESSSSTTTTIIOIIONOONNN 2 222 [[[[MMMMaaaarrkrrkskksss 1 121122 2]]]]

An isolated, charged parallel plate capacitor has only air between its plates. Initially the plates are 1.0 mm apart and the potential difference between them is V (^) 0. The plates are then separated to a spacing of 4.0 mm, while the charge on them remains the same, and a slab of dielectric is inserted to fill the space between the plates.

(a) If the potential difference across the capacitor falls to V 0 /2 as a result of these changes, calculate the dielectric constant of the material inserted. (b) A second uncharged capacitor with the same capacitance as the altered capacitor is now connected in parallel with it. What will be the potential difference across the combination?

+5q

d P d

d d +3q –2q +5q

–2q –3q

QQQQUUEUUEEESSSSTTTTIIOIIONOONNN 6 666 [[[[MMMMaaaarrkrrkskksss 1 101100 0]]]]

(a) A rod of length L is moving at a constant velocityv away from a long wire carrying a currentI as in diagram (a). Determine the emf induced in the rod when it is at a distance r from the wire.

diagram a

(b) Determine the emf induced in the same rod when it is moving parallel to the wire as in diagram (b).

diagram b

I L v

TEST 1R

QQQQUUEUUEEESSSSTTTTIIOIIONOONNN 7 777 [[[[MMMMaaaarrkrrkskksss 1 111111 1]]]]

(a) A skater travelling initially at a speed of 12 m/s comes to a halt in a distance of 95 m.

Calculate the coefficient of kinetic friction between the skates and the ice.

(b)

Two objects of masses m 1 and m 2 are

located on a frictionless double incline,

as shown in Figure. They are connected

by a fixed-length, mass-less rope

passing over a smooth, mass-less

pulley. The two sides of the incline

make angles of θ 1 and θ 2 with the

horizontal, respectively.

(i) draw a diagram showing all the relevant forces acting in this problem,

(ii) derive a simple relationship between the masses and the angles when the system is in

equilibrium.

m1 m

θ 1 θ 2

L

QQQQUUEUUEEESSTSSTTTIIOIIONOONNN 1 1011000 [[[[MMMMaaaarrkrrkskksss 1 101100 0]]]]

(a) A uniform rod of length L and mass M is

free to rotate about a frictionless pivot at

one end in a vertical plane, as shown in the

figure. The rod is released from rest in the

horizontal position. The rotational inertia I

of the rod about the pivot is ML^2 /3.

(i) calculate the initial angular acceleration

of the rod just after release,

(ii) calculate the initial linear acceleration

of the right-hand end of the rod.

(b) A uniform, solid disk of mass 120 kg and radius 1.4 m rotates initially with an angular speed

of 1100 revolutions/minute.

(i) a constant, tangential force is applied at a radial distance of 0.6 m. Calculate the amount

of work this force must do to stop the disk.

(ii) If the disk is brought to rest in 2.5 minutes, calculate the torque produced by the

tangential force and also calculate the magnitude of this force.

(iii) How many revolutions will the disk make during this 2.5 minute period, before it stops?

[note: Rotational Inertia: I(disk)= MR^2 /2].

pivot

QQQQUUEUUEEESSTSSTTTIIOIIONOONNN 1 1111111 [[[[MMMMaaaarrkrrkkkssss 1 111333 3]]]]

(a) A ladder rests against a frictionless, vertical wall. The coefficient of static friction between the

ladder and the floor is 0.3.

(i) draw a diagram showing all the forces acting on the ladder and

(ii) calculate the smallest angle between the ladder and the horizontal at which the ladder

will remain stationary.

(b) You place a ladder against a vertical wall. Now, there is friction between the ladder and the

wall.

(i) Draw a diagram showing all the forces acting on the ladder before you start to try to

climb it.

(ii) If there were no friction between the ladder and the floor would you be able to climb the

ladder, even though there is friction at the wall? Explain your answer (a simple “yes” or

“no” answer will not suffice!)

QQQQUUEUUEEESSTSSTTTIIOIIONOONNN 1 1211222 [[[[MMMMaaaarrkrrkskksss 8 88 8]]]]

Electric Potential - Physics - Exam Paper, Exams of Physics

Related documents

Partial preview of the text

Download Electric Potential - Physics - Exam Paper and more Exams Physics in PDF only on Docsity!

TEST 2

TEST 1R

(a) A skater travelling initially at a speed of 12 m/s comes to a halt in a distance of 95 m.

Calculate the coefficient of kinetic friction between the skates and the ice.

(b)

Two objects of masses m 1 and m 2 are

located on a frictionless double incline,

as shown in Figure. They are connected

by a fixed-length, mass-less rope

passing over a smooth, mass-less

pulley. The two sides of the incline

make angles of θ 1 and θ 2 with the

horizontal, respectively.

(i) draw a diagram showing all the relevant forces acting in this problem,

(ii) derive a simple relationship between the masses and the angles when the system is in

equilibrium.

L

(a) A uniform rod of length L and mass M is

free to rotate about a frictionless pivot at

one end in a vertical plane, as shown in the

figure. The rod is released from rest in the

horizontal position. The rotational inertia I

of the rod about the pivot is ML^2 /3.

(i) calculate the initial angular acceleration

of the rod just after release,

(ii) calculate the initial linear acceleration

of the right-hand end of the rod.

(b) A uniform, solid disk of mass 120 kg and radius 1.4 m rotates initially with an angular speed

of 1100 revolutions/minute.

(i) a constant, tangential force is applied at a radial distance of 0.6 m. Calculate the amount

of work this force must do to stop the disk.

(ii) If the disk is brought to rest in 2.5 minutes, calculate the torque produced by the

tangential force and also calculate the magnitude of this force.

(iii) How many revolutions will the disk make during this 2.5 minute period, before it stops?

[note: Rotational Inertia: I(disk)= MR^2 /2].

(a) A ladder rests against a frictionless, vertical wall. The coefficient of static friction between the

ladder and the floor is 0.3.

(i) draw a diagram showing all the forces acting on the ladder and

(ii) calculate the smallest angle between the ladder and the horizontal at which the ladder

will remain stationary.

(b) You place a ladder against a vertical wall. Now, there is friction between the ladder and the

wall.

(i) Draw a diagram showing all the forces acting on the ladder before you start to try to

climb it.

(ii) If there were no friction between the ladder and the floor would you be able to climb the

ladder, even though there is friction at the wall? Explain your answer (a simple “yes” or

“no” answer will not suffice!)

(a) The Earth completes an orbit around the Sun in 365.25 days. Assuming that the orbit is

circular with a radius of 1.49 x 10^11 m, calculate the mass of the Sun. [Note: the Gravitational

constant G = 6.67 x 10-11^ N m^2 kg-2^ ].

(b) A star of radius 1.0 x 10 4 km rotates about its axis with a period of 30 days. The star explodes

and then collapses into a neutron star of radius 3 km. Assuming that the star remains spherical

and its mass remains constant, calculate the period of the neutron star.

[I sphere = 2

MR^2 ]