A quantity `Q=(El^(2)G^(2))/m^(5)` where `E,l,G` and `m` are energy, angular momentum gravitational constant and mass respectively. What are the dimensional of `Q` ?

Options

A. `[M^(0)L^(0)T^(0)]`
B. `[M^(1)L^(0)T^(1)]`
C. `[M^(1)L^(1)T^(-1)]`
D. `[M^(-1)L^(-1)T^(1)]`

Answer

A

Explanation

Here `Q=(EG^(2)l^(2))/m^(5)`
Putting the dimensions
`Q=([ML^(2)T^(-2)xxM^(2)L^(4)T^(-2)xxM^(2)T^(4)])/([M^(5)]xx[L^(6)])`
`=M^(0)L^(0)T^(0)`
Thus `(a)` is correct.