A wave motion has the function `y=a_0sin(omegat-kx)`. The graph in figure shows how the displacement y at a fixed point varies with time t. Which one of the labelled points Shows a displacement equal to that at the position `x=(pi)/(2k)` at time `t=0`?

Options

A. P
B. Q
C. R
D. S

Answer

b

Explanation

Given `y=a_(0) sin (omegat-kx)`
Put t=0 and `x=(pi)/(2k)`
`y=a_(0) sin (omegaxx0-kpi//2k)impliesy=-a_(0)`
This corresponds to point `Q`.