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= a sin 2pi t"/"T`
B. `y= a sin vt`.
C. `y=(a)/(T) sin (t/a)`
D. `y=a sqrt(2)(sin (2pi t)/(T)-cos (2pi t)/(T))`

Answer

B, C

Explanation

In option b and c the arguments of sine are not dimensionless `(vt " and "t"/"a)`. So, options b and c are dimensionally incorrect.