$E, m, J$ and $G$ denote energy, mass, angular momentum and gravitational constant respectively.
Then the dimensions of $\frac{E J^{2}}{m^{5} G^{2}}$ are

Angle

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Length

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Solution

The correct option is A
Angle

$\frac{E J^{2}}{m^{5} G^{2}} = \frac{[M L^{2} T^{- 2}] [M L^{2} T^{- 1}]^{2}}{[M]^{5} [M^{- 1} L^{3} T^{- 2}]^{2}} = M^{0} L^{0} T^{0}$

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Similar questions

Q. If

E, M, J

and

G

denote energy, mass, angular momentum and gravitational constant respectively, then

\frac{E J^{2}}{M^{5} G^{2}}

has the dimensions of

If E, G, J and m represent energy, universal gravitational constant, angular momentum and mass respectively, then dimensions of $\frac{E J^{2}}{m^{5} G^{2}}$ are those of:

Q. If

E, M, J

and

G

respectively denote energy, mass, angular momentum and universal gravitational constant, the quantity, which has the same dimensions as the dimensions of

\frac{E J^{2}}{M^{5} G^{2}}

is:

Q. If

E, m, J

and

G

denote energy, mass, angular momentum and gravitational constant respectively. Then the dimensions of

\frac{{E J}^{2}}{m^{5} G^{2}}

are same as that of

Q. If E, m, l and G denote energy, mass, angular momentum and gravitational constant respectively, the quantity

(\frac{E l^{2}}{m^{5} G^{2}})

has the dimensions of:

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E,m,J and G denote energy, mass, angular momentum and gravitational constant respectively. Then the dimensions of EJ2m5G2 are

The correct option is A AngleEJ2m5G2=[ML2T−2][ML2T−1]2[M]5[M−1L3T−2]2=M0L0T0

$E, m, J$ and $G$ denote energy, mass, angular momentum and gravitational constant respectively.
Then the dimensions of $\frac{E J^{2}}{m^{5} G^{2}}$ are

The correct option is A
Angle

$\frac{E J^{2}}{m^{5} G^{2}} = \frac{[M L^{2} T^{- 2}] [M L^{2} T^{- 1}]^{2}}{[M]^{5} [M^{- 1} L^{3} T^{- 2}]^{2}} = M^{0} L^{0} T^{0}$