First slide
Dimensions of physical quantities
Question

The equation of the stationary wave is y=2Asin2πctλcos2πxλ Which of the following statements is wrong? 

Moderate
Solution

Here (2πct/λ) as well as (2πx/λ) arc dimensionless. So unit of ct is same as that of λ. Unit of x is same as that of λ. Also,

2πctλ=2πxλ=M0L0T0

Hence, 2πcλ=2πxλt,, option (d),x/λ is unitless. This is not the case with c/λ.

 

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