The equation of wave is given by Y=ASinω{(x/v)-k}, where ω is the angular velocity and v is the linear velocity. The dimensions of k is
 

  • Option 1)

    [LT]

  • Option 2)

    [T]

  • Option 3)

    [T^{-1}]

  • Option 4)

    [T^{-2}]

 

Answers (1)

As we learnt in 

Check the dimensional correctness -

L.H.S.=R.H.S.

- wherein

It is based on the principle of homogeneity. According to this principle both sides of an equation must be the same .

 

From principle of homogeneity (\frac{x}{v})has dimension of T.


Option 1)

[LT]

Option is incorrect

Option 2)

[T]

Option is correct

Option 3)

[T^{-1}]

Option is incorrect

Option 4)

[T^{-2}]

Option is incorrect

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