The equation of the stationary wave is
`y = 2 A sin (( 2 pi c t)/( lambda)) cos (( 2 pi x)/( lambda))`
Which of the following statements is wrong?

Options

A. The until of ct is same as that of `lamda`.
B. The unit of `x` is same as that of `lamda`.
C. The unit of `2pic//lamda` is sameas that of `2pix/lamdat`
D. The unit of `c//lamda` is same as that of `x//lamda`.

Answer

D

Explanation

Here `(2pict//lamda)` as well as `(2pix/lamda)` are dimensionless. So, unit of ct is same as that of `lamda` and unit of `x` is same as that of `lamda`.
Since `[(2pi ct)/(lamda)]=[(2pix)/(lamda)]=[M^(0)L^(0)T^(0)]`
`implies(2pic)/(lamda)=(2pix)/(lamdat)`
In the option (d) `x/(lamda)` is unitless. It is not the case with `c//lamda`.