Given that: y=Asin2πλ(ct−x), where y and x are measured in the unit of length. Which of the following statements is true?
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a
The unit of λ is same as that of x and A.
b
The unit of λ is same as that of x but may not be same as that of A.
c
The unit of c is same as that of 2π/λ.
d
The unit of (ct - x) is same as that of 2π/λ.
answer is A.
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Detailed Solution
Here units of y and A will be same and that of x and λ will be same 2πλ(ct−x) is dimensionless. Here ct/λ and x/λ are dimensionless. Unit of ct is same as that of λ or x.