Which of the following travelling wave will produce standing wave , with nodes at `x = 0`, when superimosed on ` y = A sin ( omega t - kx)`

Options

A. `A sin (omegat+kx)`
B. `A sin (omegat+kx+pi)`
C. `A cos (omegat+kx)`
D. `A cos(omegat+kx+pi)`

Answer

B

Explanation

Substituting x=0 we have given wave `y=A sin wt` at x=0 other should have `y=-A sin wt` equation so displacement may be zero at all the time hence (B) is correct option