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A particle executes SHM on a line 8 cm l...

A particle executes `SHM` on a line `8` cm long. Its `K.E.` and `P.E.` will be equal when its distance from the mean position is :-

A

(a)`4 cm`

B

(b)`2 cm`

C

(c)`2 sqrt(2) cm`

D

(d)`sqrt(2) cm`

Text Solution

Verified by Experts

The correct Answer is:
C
Here `1/2mv^(2) = 1/2kx^(2) rArr 1/2 momega^(2)(a^(2) - x^(2)) = 1/2momega^(2)x^(2)`
`rArr x = a/(sqrt(2)) = (4)/(sqrt(2)) = 2sqrt(2)cm`
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