A wave represented by the equation `y=acos(kx-omegat)` is superposed with another wave to form stationary wave such that the point x=0 is a node. The equation for the other wave is:

Options

A. `asin(kx+omegat)`
B. `asin(kx-omegat)`
C. `-acos(kx+omegat)`
D. `-asin(kx-omegat)`

Answer

C

Explanation

Stationary wave is produced when two waves travel in opposite directions.
Now,`y=a cos (kx-omegat)-a cos(kx+omegat)`
`y=2a sin kx sin omega t` is equation of stationary wave which gives a node at `x=0`