A wooden block performs SHM on a frictionless surface with frequency, `v_(0)`. The block carries a charge `+Q` on its surface. If now a uniform electric field `vec (E)` is switched on as shwon in figure., then the SHM of the block will be

Options

A. of the same frequency and with shifted mean position
B. of the same frequency and with the same mean position
C. of changed frequency and with shifted mean position
D. of changed frequency and with the same mean position

Answer

A

Explanation

The wooden block performs a simple harmonic motion of frequency `n =(1)/(2pi) sqrt((K)/(m))`
This does not depend upon the force due to electric field. i.e. the frequency is not affected.
But due to the electric force, the mean position of the block is shifted.
(F=QE and Q moves in the direction of the field) Thus (a) is the correct option