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Given that y = A sin [((2 pi )/(lambda)(...

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

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 not of ` A`

C

The unit of c is same as that of `(2 pi)/(lambda)`

D

The unit of `(a -x )` is same as that of `(2 pi)/(lambda)`

Text Solution

Verified by Experts

The correct Answer is:
A

` :.(2 pi r)/(lambda)` is dimensionless
`:. [lambda] = [x] = [L] = [A]`
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