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The equation of stationary wave is y = A...

The equation of stationary wave is `y = A sin kt cos omega` ,where y and x in second choose the correct option

A

the dimensions of A and k are same

B

the dimensions of `A,k and omega `are same

C

the dimensions of `k and omega` are same

D

the dimensions of `(kx) and (omega)` are same

Text Solution

Verified by Experts

The correct Answer is:
d
`kx and omega t` have dimensions of angle (i.e. `[M^(0)L^(0)T^(0)]`) Hence kt and omega t both are dimensionless
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Knowledge Check

  • A wire is stretched and fixed at two ends. Transverse stationary waves are formed in it. It oscillates in its third overtone mode. The equation of stationary wave is y= A sin kx cos omegat Choose the correct options.

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    B
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    C
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    D
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    C
    Velocity = 50 m/s
    D
    Amplitude= 0.02 m

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    A
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    B
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    C
    `12cm`
    D
    `2cm`
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