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Oscillations

Question
CBSEENPH11026207

Given that y = A sin  2πλ ct - x  , where y and x are measured in metre. Which of the following statements is true?

  • The unit of λ is same as that of x and A

  • The unit of λ is same as that of x but not of A

  • The unit of c is same as that of 2πλ

  • The unit of ( ct - x ) is same as that of 2πλ

Solution

A.

The unit of λ is same as that of x and A

Here 2πλ ct - x is dimensionless

Hence, ctλ is also dimensionless and unit of ct is the same as that of x. Therefore unit of λ is same as that of x.

Also unit of y is same as that of A, which is also the unit of x.