Assertion: In a simple harmonic motion the kinetic and potential energy becomes equal when the displacement is `(1)/(sqrt(2))` time the amplitude
Reason: is `SHM` kinetic energy is zero when potential energy is maximum

Options

A. If both assertion and reason are ture 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 reson are false.

Answer

B

Explanation

When the displacement of a particle executing SHM is y , then its
`K.E. = (1)/(2) momega^(2) (a^(2) - y^(2)) ` and
`P.E. = (1)/(2) m omega^(2) y^(2)`.
For K.E. = P.E. or `2y^(2) = a^(2)` or , y = `a//sqrt2` . Since total energy remains constant through out the motion , which is E = K.E. + P.E. So , when P.E. is maximum then K.E. is zero and vice versa .