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E,m,L and G denote energy, mass, angular...

`E,m,L` and `G` denote energy, mass, angular momentum and gravititional constant respectively, the quantity `(E.L)/(m^(5)G^(2))` has the dimensions of :

A

angle

B

length

C

mass

D

time

Text Solution

Verified by Experts

The correct Answer is:
A
Here `X=(EL^(2))/(m^(5)G^(2))` Putting the dimensions
`X=([ML^(2)T^(-2)]xx[ML^(2)T^(-1)]^(2))/(M^(5)xx[M^(-1)L^(3)T^(-2)]^(2))`
`=[M^(0)L^(0)T^(0)]=` dimensionless
`:.(a)`is the correct choice.
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