Kinematics Question 475
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.
E) If assertion is false but reason is true.
Show Answer
Answer:
Correct Answer: C
Solution:
Centripetal force is defined by the 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.
BETA
