Physics Two Dimensional Motion Question 20

Assertion: If both the speed of a body and radius of its circular path are doubled, then centripetal force becomes four times. Reason: Centripetal force is directly proportional to the square of the speed of a body and directly proportional to the radius of circular path.

Options:

A) If both assertion and reason are true and the reason is the correct explanation of the assertion.

B) If both assertion and reason are true but reason is not the correct explanation of the assertion.

C) If assertion is true but reason is false.

D) If the assertion and reason are both false.

Show Answer

Answer:

Correct Answer: C

Solution:

Centripetal force is defined from formula $ F=\frac{mv^{2}}{r} $

Therefore $ F\propto \frac{v^{2}}{r} $ If v and r both are doubled then F gets multiplied by four.



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