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  • Which of the following relation is incorrect ? Option: 1

Which of the following relation is incorrect ? 

Option: 1

y = A \sin vt


Option: 2

y = A \sin (wt-kx)


Option: 3

T = 2\pi \sqrt {\frac{l}{g}}


Option: 4

F = \frac{mv^2}{r}


Answers (1)

best_answer

As we have learned

Check the dimensional correctness -

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

- wherein

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

 

 y = A \sin vt \\\\

vt is equals to angle 

\theta = vt

[\theta] = [v][t ]\\\\ = [LT^{-1}] [T] = [L]

Here angle is a function of length that is not possible Hence relation is incorrect 

 

 

 

 

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