Given that `Y = a sin omegat + bt + ct^(2) cos omegat`. The unit of `abc` is same as that of

Options

A. `y`
B. `y//t`
C. `(y//t)^(2)`
D. `(y//t)^(3)`

Answer

D

Explanation

`y=asin omegat+bt +ct^(2)cos omegat" "a=y,b=y/t,c=y/(t^(2))," "axxbxxc=yxxy/txxy/(t^(2))=(y/t)^(2)`