On the basis of dimensions, decide which of the following relation for the displacement of a particle undergoing simple harmonic motion is not correct :

Options

A. `y = asin .(2pit)/(T)`
B. `y = a sin vt`
C. `y = (a)/(T) sin ((t)/(a))`
D. `y = a sqrt(2)(sin.(2pit)/(T)-cos.(2pit)/(T))`

Answer

B, C

Explanation

(B) y = sin (vt)
vt `ne` dimension less
(C ) `y = (a)/(T) sin ((t)/(a))`
`[LT=[a]implies(t)/(a)ne1`