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` is same as that of x and A.
B. The unit of `lambda` is same as that of x but may not be same as that of `A`.
C. The unit of `c` is same as that of ` 2 pi // lambda`.
D. The unit of `( c t - x)` is same as that of ` 2 pi // lambda`.

Answer

B

Explanation

Here units of y and A will be same and that of x and `lambda` will be same . `(2 pi)/( lambda) ( ct - x)` is dimensionless. Here `ct// lambda` and `x// lambda` are dimensionless. Unit of ct is same as that of `lambda` or x.