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Questions  

In the relation y=Asin(ωtkx), the dimensions of ω/k are: (y- displacement, A- amplitude, t-time, x-position)

a
M0L0T0
b
M0L1T−1
c
M0L0T1
d
M0L1T0

detailed solution

Correct option is B

y=Asin⁡(ωt−kx) Here ωt= angle ⇒ω=1T=T−1 Similarly, kx= angle ⇒k=1x=L−1∴ ωk=T−1L−1=M0LT−1Or simply ω/k represents wave velocity.ωk=2πf2π/λ=fλ=v, where f is frequency.

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