Question: 25: Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R),
Assertion (A) : When a fire cracker (rocket) explodes in mid air, its fragments fly in such a way that they continue moving in the same path, which the fire cracker would have followed, had it not exploded
Reason (R) : Explosion of cracker (rocket) occurs due to internal forces only and no external force acts for this explosion.
In the light of the above statements, choose the most appropriate answer from the options given below :
(1) Both (A) and (R) are correct and (R) is the correct explanation of (A)
(2) Both (A) and (R) are correct but (R) is not the correct explanation of (A)
(3) (A) is correct but (R) is not correct
(4) (A) is not correct but (\mathbf{R}) is correct
Answer: Option (4)
Explanation:
The assertion (A) states that fragments of an exploded rocket continue moving along the original path of the rocket.
This is incorrect because after the explosion, the fragments move in different directions depending on the forces exerted during the explosion.
The trajectory of each fragment is influenced by the internal forces during the explosion, so they do not follow the original path of the rocket.
The reason (R) is correct.
Explosion of the rocket occurs due to internal forces only, and no external force acts on the system during the explosion. This is consistent with the principle of conservation of momentum,
which states that the total momentum of the system remains constant if no external force acts on it.
Hence, (A) is not correct, but (R) is correct.