If $E, m, J$ and $G$ represent energy, mass, angular momentum and gravitational constant respectively, then the dimensional formula of $\frac{E J^{2}}{m^{5} G^{2}}$ is

angle

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Solution

The correct option is A angle
Angle is a dimensionless unit while mass, length and time has dimension.
So, $[\frac{E J^{2}}{m^{5} G^{2}}] = \frac{[M L^{2} T^{- 2}] [M L^{2} T^{- 1}]^{2}}{[M^{5}] [M^{- 1} L^{3} T^{- 2}]^{2}} = [M^{0} L^{0} T^{0}] = a n g l e$

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If E,m,J and G represent energy, mass, angular momentum and gravitational constant respectively, then the dimensional formula of EJ2m5G2 is

The correct option is A angleAngle is a dimensionless unit while mass, length and time has dimension.So, [EJ2m5G2]=[ML2T−2][ML2T−1]2[M5][M−1L3T−2]2=[M0L0T0]=angle

If $E, m, J$ and $G$ represent energy, mass, angular momentum and gravitational constant respectively, then the dimensional formula of $\frac{E J^{2}}{m^{5} G^{2}}$ is

The correct option is A angle
Angle is a dimensionless unit while mass, length and time has dimension.
So, $[\frac{E J^{2}}{m^{5} G^{2}}] = \frac{[M L^{2} T^{- 2}] [M L^{2} T^{- 1}]^{2}}{[M^{5}] [M^{- 1} L^{3} T^{- 2}]^{2}} = [M^{0} L^{0} T^{0}] = a n g l e$