If E = energy, G = gravitational constant, I = impulse and M = mass, then dimesions of ( GLM2 / E2 ) are same as that of

Question

If E = energy, G = gravitational constant, I = impulse and M = mass, then dimesions of ( GLM2 / E2 ) are same as that of (A) time (B) mass (C) length (D) force

Tardigrade Admin · Accepted Answer

Dimensions of ( GIM2 / E2 ) = ( [ M - 1 L3 T - 2 ] [ MLT - 1 ] [ M2 ] / [ ML2 T - 2 ]2 ) = [T] = dimensions of time

Q. If E = energy, G = gravitational constant, I = impulse and M = mass, then dimesions of $\frac{G L M ^{2}}{E ^{2}}$ are same as that of

time

mass

length

force

Dimensions of $\frac{G I M ^{2}}{E ^{2}}$
= $\frac{[ M ^{- 1} L ^{3} T ^{- 2} ] [ M L T ^{- 1} ] [ M ^{2} ]}{[ M L ^{2} T ^{- 2} ] ^{2}}$
= [T] = dimensions of time

Q. If E = energy, G = gravitational constant, I = impulse and M = mass, then dimesions of E2GLM2​ are same as that of