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.

Options

A. the argument of trigonometric function must be a dimensionless quntity
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

Answer

A

Explanation

Plane angle is dimensionless
`[WA]=[v]`
`[W]L=LT^-1`
`[W]=T^-1`
`[sqrt((k)/(m)t)]=1`
`k=(m)/(t^2)=MT^-2`
`(sqrt((k)/(m))={t}=1impliessqrt((k)/(m))=T^-1`