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 |
From NCERT
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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 |
 84%
From NCERT
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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 |
 72%
From NCERT
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Given below are two statements: 
Assertion (A): The centre of mass of a two-particle system lies on the line joining the two particles, being closer to the heavier particle.
Reason (R): The product of the mass of one particle and its distance from the centre of mass is numerically equal to the product of the mass of another 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%
From NCERT
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Given below are two statements: 
Assertion (A): A person standing on a rotating platform suddenly stretched his arms. The platform slows down.
Reason (R): This happens as 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 |
 83%
From NCERT
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Given below are two statements: 
Assertion (A): There are very small sporadic changes in the period of rotation of the earth.
Reason (R): The shifting of large air masses in the earth's atmosphere produces a change in the moment of inertia of the earth causing its period of rotation to change.
 
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 |
 84%
From NCERT
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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 |
From NCERT
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Assertion (A): The center 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 |
 63%
From NCERT
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Given below are two statements: 
Assertion (A): If the same mass is drawn into making of a solid sphere and a hollow sphere, the moment of inertia about the diameter of a hollow body is greater than a solid body.
Reason (R): The moment of inertia depends on the mass distribution from the axis of rotation and in a hollow sphere more of the mass is further away from the axis of rotation.
 
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:  Moment of Inertia |
 87%
From NCERT
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Given below are two statements: 
 
Assertion (A): For a body under translatory as well as rotational equilibrium, net torque about any axis is zero.
Reason (R): Together \( \Sigma \vec{F}_{i}=0 \text { and } \Sigma\left(\vec{r}_{i} \times \vec{F}_{i}\right)=0 \) implies that \( \Sigma\left(\vec{r}_{i}-\overrightarrow{r_{0}}\right) \times \vec{F}=0 \).
  
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:  Rotational Motion: Dynamics |
 72%
From NCERT
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