A transverse wave travelling along the positive x-axis, given by `y=A sin (kx - omega t)` is superposed with another wave travelling along the negative x-axis given by `y=A sin (kx + omega t)`. The point `x=0` is

Options

A. a node
B. an antinode
C. neither a node nor an antinode
D. a node or antinode depending on `t`

Answer

B

Explanation

At `x=0,y_(1) = A sin(-omega t)` and `y_(2) = -A sin omega t , y_(1)+y_(2) = -2A sin omega t` (antinode).