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Q.

Consider a progressive wave whose displacement at distance x and time t is y=Asin(ωt−kx). If p=ωk,  then the dimension p are equivalent to :

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a

velocity

b

wave number

c

wavelength

d

frequency

answer is C.

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Detailed Solution

y=Asin(ωt−kx)As(ωt−kx) represents an angle which is dimensionless, therefore[ω]=1(t)=T−1 and [k]=1[x]=L−1ωk=T−1L−1=LT−1= velocity
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