A sinusoidal wave is propagating in negative x-direction in a string stretched along x-axis. A particle of string at `x=2` cm is found at its mean position and it is moving in positive y-direction at `t=1` s. the amplitude of the wave, the wavelength and the angular frequency of the wave are `0.1m,pi//4m` and `4pi rad//s`, respectively.
The speed of particle at `x=2 m` and `t=1 s` is

Options

A. `0.2pi m//s`
B. `0.6pi m//s`
C. `0.4pi m//s`
D. 0

Answer

c

Explanation

As given the particle at `x-2`is at mean position at `t=1 s`. :. Its velocity `v=omegaA=4pixx0.1=0.4pi m//s`.