If 'E', 'M', 'L' and 'G' denote energy, mass, angular momentum and constant of gravitaion respectively then ( EL ² G ² M ⁵ ) has dimensions of

Step-by-step solution

Correct option is D angle. [ E ]= [ ML ² ~T ⁻² ],[ m ]=[ M ][ I ]= [ ML ² ~T ⁻¹ ],[ G ]= [ M ⁻¹ ~L ³ ~T ⁻² ] [ El ² ~m ⁵ G ² ]= [ ML ² ~T ⁻² ] [ M ² ~L ⁴ ~T ⁻² ] [ M ⁵ ] [ M ⁻² ~L ⁶ ~T ⁻⁴ ] = [ M ⁰ ~L ⁰ ~T ⁰ ] As angle has no dimensions, therefore El ⁵ ~m ⁵ G ² has the same dimensions as that of angle.