MCQ Motion of Centre of Mass, Class 11 Physics

1. There will be total 10 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. Two balls are thrown simultaneously in air. The acceleration of the centre of mass of the two balls, while in air

depend on the speeds of the two balls.

depend on the masses of the two balls.

depend on the direction of the motion of the balls.

is equal to g.

Question 1 of 10

2. A shell following a parabolic path explodes somewhere in its flight. The centre of mass of fragments will continue to move in

Any direction

Vertical direction

Same parabolic path

Horizontal direction

Question 2 of 10

3. Two particles A and B of mass 'm' move towards each other under a mutual force of attraction. If velocity of A is 2 v and that of B is v, calculate the velocity of centre of mass of the system.

ν/2

Zero

3ν

ν

Question 3 of 10

4. Two bodies of masses m1 and m2 are moving such that their momentums are equal and opposite. The velocity of centre of mass of system of two bodies is:

cannot be determined.

equal to the velocity of particle m1.

Zero

equal to the velocity of particle m2.

Question 4 of 10

5. Two spheres of masses m1 and m2 (m1>m2) respectively are tied to the ends of a light, inextensible string which passes over a light frictionless pulley. When the masses are released from their initial state of rest, the acceleration of their centre of mass is:

A

B

C

D

Question 5 of 10

6. When a fire cracker initially at rest, explodes into a number of fragments, the centre of mass

remains stationary

moves along a parabolic path

moves along vertical direction

moves along horizontal direction

Question 6 of 10

7. A radioactive nucleus of mass M moving along the positive x-direction with speed v emits an alpha particle of mass m. If the alpha particle proceeds along the positive y-direction, the centre of mass of the system (made of the daughter nucleus and the alpha particle) will:

move along the positive x-direction with speed equal to v

remain at rest

move along the positive x-direction with speed less than v

move along the positive x-direction with speed greater than v

Question 7 of 10

8. Which of the following options are correct,
where i, j and k are unit vectors along the x, y and z axis?

A

B

C

D

Question 8 of 10

9. There are two particles of masses m and 2m placed at a distance‘d’ apart on a smooth horizontal surface. Where will the collision occur (with respect to original positions), if they are allowed to move towards each other because of their mutual attraction?

2d/3

d/2

2d

d

Question 9 of 10

10. A proton and an electron, initially at rest, are allowed to move under their mutal attractive force. Their centre of mass will:

move towards the proton

move towards the electron

move in an unpredictable manner.

remain stationary

Question 10 of 10

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