Assertion: A body of mass `1 kg` is making `1 rps` in a circle of radius `1 m`. Centrifugal force acting on it is `4 pi^2 N`.
Reason: Centrifugal force is given by `F = (mv^2)/( r)`.

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true but reason is not the correct explanation of assertion.
C. If assertion is true but reason is false.
D. If both assertion and reason are false.

Answer

A

Explanation

From relation
`F = (mv^2)/( r) = (m(r omega)^2)/( r) = m r omega^2`
=`mr (2 pi v)^(2) 4 pi^2 mrv^2`
Here, `m = 1 kg, v = 1 rps, r = 1 m`
`:. F = 4 pi^2 xx 1 xx 1 xx 1^2 = 4 pi^2 N`.