A) The unit of \[\lambda \] is same as that of x and A
B) The unit of \[\left( ct-x \right)\]is same as that of x but not of A
C) The unit of c is same as that of \[\frac{2\pi }{\lambda }\]
D) The unit of (ct - x) is same as that of \[\frac{2\pi }{\lambda }\]
Correct Answer: A
Solution :
Here \[\frac{2\pi }{\lambda }(ct-x)\] is dimensionless. Hence, \[\frac{ct}{\lambda }\] is also dimensionless and unit of ct is same as that of\[x\]. Therefore, unit of Us same as that of x. Also unit of y is same as that of A, which is also the unit of\[x\].
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