1.

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 ?

Answer»

`[M^(0)L^(0)T^(0)]`
`[M^(1)L^(0)T^(1)]`
`[M^(1)L^(1)T^(-1)]`
`[M^(-1)L^(-1)T^(1)]`

Solution :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.


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