When the kinetic energy of the body executing SHM is 1/3 of the potential energy, the displacement of the body is x% of the amplitude, where x is :

Options

A. 33
B. 67
C. 87
D. 50

Answer

C

Explanation

When `y=(x)/(100).r` then `K.E.=(1)/(3)` P.E.
`implies(1)/(2)m omega^(2)(r^(2)-y^(2))=(1)/(3).(1)/(2)m omega^(2)y^(2)`
`implies" "y=(sqrt(3))/(2).r`
`(x)/(100)r=(sqrt(3))/(2)rimpliesx=50 sqrt(3)=87` (appx.)
Correct choice is ( c ).