Assertion : A small body of mass `0.1kg` is undergoing `SHM` of amplitude `1.0m` and period `0.2s` The maximum value of the force acting on a its `98.7N`
Reason : Maximum force acting on it is given by the `F = m omega^(2)r`

Options

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

Answer

A

Explanation

The maximum force is given by
`F = m omega^(2)r`
`= m xx((2 pi)/(T))^(2) xx r`
`= 0.1((2pi)/(0.2))^(2) xx 1.0`
`= 0.1 xx (10pi)^(2) = 98.7 N`