NEET
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- NEET
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- Physics
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- Center of Mass, Momentum and Collision
NEET · Physics · Center of Mass, Momentum and Collision
Given below are two statements: one is labelled as Assertion (A)...
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): If a light body and a heavy body have the same linear momentum, the light body will cover a greater distance in a given time interval.
Reason (R): For a given linear momentum, the velocity of a body is inversely proportional to its mass.
In the light of the above statements, choose the most appropriate answer from the options given below:
Assertion (A): If a light body and a heavy body have the same linear momentum, the light body will cover a greater distance in a given time interval.
Reason (R): For a given linear momentum, the velocity of a body is inversely proportional to its mass.
In the light of the above statements, choose the most appropriate answer from the options given below:
Options
- ABoth (A) and (R) are correct and (R) is the correct explanation of (A)
- BBoth (A) and (R) are correct but (R) is not the correct explanation of (A)
- C(A) is correct but (R) is not correct
- D(A) is not correct but (R) is correct
Correct answer
A. Both (A) and (R) are correct and (R) is the correct explanation of (A)
Step-by-step solution
Linear momentum is given by , which implies .
For a constant linear momentum , the velocity is inversely proportional to the mass (). Therefore, a light body (smaller mass) will have a greater velocity compared to a heavy body. This makes the Reason (R) correct.
The distance covered in a given time interval is . Since the light body has a greater velocity, it will cover a greater distance in the same time interval. This makes the Assertion (A) correct.
The Reason (R) provides the exact formulaic relationship that explains why the light body has a higher velocity and consequently covers more distance. Thus, (R) is the correct explanation of (A).
Answer: Both (A) and (R) are correct and (R) is the correct explanation of (A)
For a constant linear momentum , the velocity is inversely proportional to the mass (). Therefore, a light body (smaller mass) will have a greater velocity compared to a heavy body. This makes the Reason (R) correct.
The distance covered in a given time interval is . Since the light body has a greater velocity, it will cover a greater distance in the same time interval. This makes the Assertion (A) correct.
The Reason (R) provides the exact formulaic relationship that explains why the light body has a higher velocity and consequently covers more distance. Thus, (R) is the correct explanation of (A).
Answer: Both (A) and (R) are correct and (R) is the correct explanation of (A)