MCQOPTIONS
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MCQOPTIONS
This section includes 15 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Physics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
One solid sphere ‘A’ and another hollow sphere ‘B’ are of same mass and same outer radii. Their moments of inertia about their diameters are respectively IA and IB, such that _____________ |
| A. | IA=IB |
| B. | IA is greater thab IB |
| C. | IA is lesser than IB |
| D. | IA/IB =ρA/ρB |
| Answer» D. IA/IB =ρA/ρB | |
| 2. |
Moment of inertia of a circular wire of mass M and radius R about its diameter is _____________ |
| A. | 1/2 MR2 |
| B. | 1/4 MR2 |
| C. | 2MR2 |
| D. | MR2 |
| Answer» C. 2MR2 | |
| 3. |
A smooth sphere A is moving on a frictionless horizontal plane with angular speed ω and the centre of mass velocity u. It collides elastically and head on with an identical sphere B at rest. Neglect friction everywhere. After the collision, their angular speeds are ω(A) and ω(B) respectively. Then? |
| A. | and ω(B) respectively. Then?a) ωA is lesser than ωB |
| B. | ωA=ωB |
| C. | ωA=ω |
| D. | ωB=ω |
| Answer» D. ωB=ω | |
| 4. |
Two particles A and B, initially at rest, move towards each other under mutual force of attraction. At the instant when the speed of A is v and the speed of B is 2v, what is the speed of mass of the system? |
| A. | 3v |
| B. | v |
| C. | Zero |
| D. | 1.5v |
| Answer» D. 1.5v | |
| 5. |
A solid sphere rolls down two different inclined planes of the same heights but different angles of inclination. In each case, the ball will _____________ |
| A. | Reach the bottom at the same time |
| B. | Will take longer time to roll down one plane |
| C. | Reach the bottom at an unpredictable time |
| D. | Reach the bottom at the same time and keeps rolling |
| Answer» C. Reach the bottom at an unpredictable time | |
| 6. |
A solid sphere rolls down two different inclined planes of the same heights but different angles of inclination. In each case, the ball will reach the bottom _____________ |
| A. | With the same speed |
| B. | With different speed |
| C. | With different speed but same time |
| D. | Immediately |
| Answer» B. With different speed | |
| 7. |
ONE_SOLID_SPHERE_‚ÄÖ√Ñ√∂‚ÀÖ√Ë‚Àւ§A‚ÄÖ√Ñ√∂‚ÀÖ√Ë‚ÀÖ¬•_AND_ANOTHER_HOLLOW_SPHERE_‚ÄÖ√Ñ√∂‚ÀÖ√Ë‚Àւ§B‚ÄÖ√Ñ√∂‚ÀÖ√Ë‚ÀÖ¬•_ARE_OF_SAME_MASS_AND_SAME_OUTER_RADII._THEIR_MOMENTS_OF_INERTIA_ABOUT_THEIR_DIAMETERS_ARE_RESPECTIVELY_IA_AND_IB,_SUCH_THAT?$# |
| A. | I<sub>A</sub>=I<sub>B</sub> |
| B. | I<sub>A</sub> is greater thab I<sub>B</sub> |
| C. | I<sub>A</sub> is lesser than I<sub>B</sub> |
| D. | I<sub>A</sub>/I<sub>B</sub> =ρ<sub>A</sub>/ρ<sub>B</sub> |
| Answer» D. I<sub>A</sub>/I<sub>B</sub> =‚âà√¨‚àö√ñ<sub>A</sub>/‚âà√¨‚àö√ñ<sub>B</sub> | |
| 8. |
MOMENT_OF_INERTIA_OF_A_CIRCULAR_WIRE_OF_MASS_M_AND_RADIUS_R_ABOUT_ITS_DIAMETER_IS?$ |
| A. | 1/2 MR<sup>2</sup> |
| B. | 1/4 MR<sup>2</sup> |
| C. | 2MR<sup>2</sup> |
| D. | MR<sup>2</sup> |
| Answer» C. 2MR<sup>2</sup> | |
| 9. |
A smooth sphere A is moving on a frictionless horizontal plane with angular speed ω and the centre of mass velocity u. It collides elastically and head on with an identical sphere B at rest. Neglect friction everywhere. After the collision, their angular speeds are ω(A) and ω(B) respectively. Then?# |
| A. | ω<sub>A</sub> is lesser than ω<sub>B</sub> |
| B. | ω<sub>A</sub>=ω<sub>B</sub> |
| C. | ω<sub>A</sub>=ω |
| D. | ω<sub>B</sub>=ω |
| Answer» D. ‚âà√¨‚àö¬¢<sub>B</sub>=‚âà√¨‚àö¬¢ | |
| 10. |
Two particles A and B, initially at rest, move towards each other under mutual force of attraction. At the instant when the speed of A is v and the speed of B is 2v, the speed of mass of the system is |
| A. | 3v |
| B. | v |
| C. | Zero |
| D. | 1.5v |
| Answer» D. 1.5v | |
| 11. |
Where does the centre of mass of two particles of an equal mass lie? |
| A. | Inside the body |
| B. | Outside the body |
| C. | Near the first body |
| D. | Midway between them |
| Answer» E. | |
| 12. |
During rolling, the force of friction acts in the same direction as the direction of motion of the centre of mass of the body. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 13. |
A hook of radius 2m weighs 100kg. It rolls along a horizontal floor so that its centre if mass has a speed of 20cm/s. How much work has to be done to stop it? |
| A. | 5 J |
| B. | 6 J |
| C. | 2 J |
| D. | 4 J |
| Answer» E. | |
| 14. |
A solid sphere rolls down two different inclined planes of the same heights but different angles of inclination. In each case, the ball will reach the bottom |
| A. | With the same speed |
| B. | With different speed |
| C. | With different speed but same time |
| D. | Immediately |
| Answer» B. With different speed | |
| 15. |
A child sits stationary at one end of a long trolley moving uniformly with speed v on a smooth horizontal floor. If the child gets up and runs about on the trolley in any manner, then what is the effect of the speed of the centre of mass of the (trolley+child) system? |
| A. | The speed of the centre of mass increases |
| B. | The speed of the centre of mass decreases |
| C. | The speed of the centre of mass will not change |
| D. | The speed of the centre of mass will first increase and then decrease |
| Answer» D. The speed of the centre of mass will first increase and then decrease | |