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Given below are two statements:
| Assertion (A): | The speed of a whirlwind in a tornado is alarmingly high. |
| Reason (R): | If no external torque acts on a body, its angular velocity remains conserved. |
| 1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
| 3. | (A) is true but (R) is false. |
| 4. | Both (A) and (R) are false. |
Subtopic: Torque |
Level 3: 35%-60%
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Given below are two statements:
| Assertion (A): | If polar ice melts, days will be longer. |
| Reason (R): | Moment of inertia increases and thus angular velocity decreases. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Angular Momentum |
79%
Level 2: 60%+
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Given below are two statements:
| Assertion (A): | The centre of mass of an electron and proton when released moves faster towards the proton. |
| Reason (R): | This is because the proton is heavier. |
| 1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
| 3. | (A) is true but (R) is false. |
| 4. | Both (A) and (R) are false. |
Subtopic: Center of Mass |
Level 3: 35%-60%
Hints
Given below are two statements:
| Assertion (A): | For a system of particles under a central force field, the total angular momentum is conserved. |
| Reason (R): | The torque acting on such a system is zero. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Angular Momentum |
85%
Level 1: 80%+
Hints
Given below are two statements:
| Assertion (A): | If the ice cap of the pole melts, the day length will shorten. |
| Reason (R): | Ice flows towards the equator and decreases the moment of inertia of the earth. This increases the frequency of rotation of the earth. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Angular Momentum |
Level 3: 35%-60%
Hints
Given below are two statements:
| Assertion (A): | The centre of mass of a two-particle system lies on the line joining the two particles and is positioned closer to the heavier particle. |
| Reason (R): | In a two-particle system, the product of the mass of one particle and its distance from the centre of mass is equal to the product of the mass of the other particle and its distance from the centre of mass. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Center of Mass |
68%
Level 2: 60%+
Hints
Given below are two statements:
| Assertion (A): | A person standing on a rotating platform suddenly stretches his arms, causing the platform to slow down. |
| Reason (R): | Angular momentum is conserved. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Angular Momentum |
79%
Level 2: 60%+
Hints
Given below are two statements:
| Assertion (A): | The period of Earth’s rotation undergoes very small, irregular (sporadic) variations. |
| Reason (R): | The displacement of large air masses in the Earth’s atmosphere alters its moment of inertia, thereby causing slight changes in its rotation period. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Angular Momentum |
83%
Level 1: 80%+
Hints
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Given below are two statements:
| Assertion (A): | A judo fighter in order to throw his opponent onto the mat tries to initially bend his opponent and then rotate him around his hip. |
| Reason (R): | As the mass of the opponent is brought closer to the fighter's hip, the force required to throw the opponent is reduced. |
| 1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
| 3. | (A) is true but (R) is false. |
| 4. | Both (A) and (R) are false. |
Subtopic: Torque |
Level 4: Below 35%
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| Assertion (A): | The centre of mass of a body or a system of bodies is the point that moves as though all the mass were concentrated there and all external forces were applied there. |
| Reason (R): | The centre of mass will not move due to mutual attractive forces between two particles. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Center of Mass |
65%
Level 2: 60%+
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