Given that ` y =A sin [( ( 2pi )/( lambda ) ( ct -x))] ` ,where y and x are measured in metres. Which of the following statement is true?

Options

A. The unit of `lambda^(-1)` is same as that of `(2pi)/(lambda)`
B. The unit of `lambda` is same as that of x but not of A
C. The unit of c is same as that of `(2pi)/(lambda)`
D. The unit of (ct - x) is same as that of `(2pi)/(lambda)`

Answer

A

Explanation

`(1)/(lambda)=K=(2pi)/(lambda)`. So unit of `lambda^(-1)` is same as that of `(2pi)/(lambda)`.