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Q.

Let a wave be described by the equationy=asin⁡ωxv−kwhere, ω is angular velocity and v is the linear velocity. What will be the dimensions of k ?

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a

T2

b

T−1

c

[T]

d

[LT]

answer is C.

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Detailed Solution

y=asin⁡ωxv−ωkAngle is dimensionless, so[ωk]=M0L0T0i.e. [k]=1[ω]=1T−1=T
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