The dimension of power isL⁻⁵
The dimension of energy isL⁻²
The dimension of force isL⁻³
The dimension of linear momentum isL⁻¹
Correct option is D. The dimension of linear momentum isL⁻¹;
[M]=[Mass]=[M⁰L⁰T⁰]
[J]=[Angular momentum]=[ML²T⁻¹];
[L]=[Length]
Now;
[ML²T⁻¹]=[M⁰L⁰T⁰] ∴[L²]=[T]
Power [P]=[MLT⁻²].LT⁻¹=[ML²T⁻³]=[L²L⁻⁶]
[P]=[L⁻⁴]
Energy/work [W]=[MLT⁻²].L=[L²L⁻⁴]=[L⁻²]
Force [F]=[MLT⁻²]=[L.L⁻⁴]=[L⁻³]
Linear momentum [p]=[MLT⁻¹]=[L.L⁻²]
[p]=[L⁻¹].