For which of the following quantities does ratios are dimensionless?
(i) `("work")/("Energy")` (ii) `sintheta` (iii) `(Momentum)/(Time)`

Explanation

(i) Since work and energy both have the same dimensions `[ML^(2)T^(2)]`, their ratio is a dimensionless quantity
(ii) `sintheta`,here`theta` represents aan aangle.An angle is the ratio of two lenghts i.e.,are length and radius. Therefore `theta` is dimensionless hence `sintheta` is dimensionless.
(iii) `[(momentum)/(Time)]=[(MLT^(-1))/(T)]=[MLT^(-2)]`
Hece,the given ratio is not dimensionless