Kinematics Question 475
Question: Assertion: If both the speed of a body and radius of it’s circular path are doubled, then centripetal force also gets doubled. Reason: Centripetal force is directly proportional to both speed of a body and 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 both are false.
E) If assertion is false but reason is true.
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 also gets doubled.
