The equation of a wave is given by y=Asinω(xv−a), where ω is the angular velocity and v is the linear velocity of the wave. The dimensions of a is
A
[M]
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B
[T]
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C
[L]
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D
[K]
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Solution
The correct option is B[T] Given, y=Asinω(xv−a) We know that physical quantities having the same dimensions are added or subtracted. Therefore, the dimensions of a should be the same as the dimensions of xv. ⇒[a]=[xv] ⇒[a]=[LLT−1]=[T]