The equation of the stationary wave is y=2Asin2πctλcos2πxλ Which of the following statements is wrong?
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a
The unit of ct is same as that of λ.
b
The unit of x is same as that of λ.
c
The unit of 2πc/λ is same as that of 2πx/λt.
d
The unit of c/λ is same as that of x/λ.
answer is D.
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Detailed 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=M0L0T0Hence, 2πcλ=2πxλt,, option (d),x/λ is unitless. This is not the case with c/λ.