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If the speed v of a particle of mass m a...

If the speed v of a particle of mass m as function of time t is given by `v=omegaAsin[(sqrt(k)/(m))t]`, where A has dimension of length.

A

The argument of trigonometric function must be a dimensionless quantity.

B

Dimensional formula of `omega ` is `[LT^(-1)]`

C

Dimensional formula of k is `[MLT^(-2)]`

D

Dimensional formula of `sqrt((k)/(m))` is `[T]`

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The correct Answer is:
A
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