Find the dimensional formulae of the following quantities:
(a) the universal gravitational constant `G`
(b) the coefficient of viscosity `eta`
(c) surface tension
Some formula involving these quantities are
`F=(Gm_(1) m_(2))/(r_(2)),F=6pietarv,s=(F)/(l)`
where `F`: force, `m`: mass,`r`: distance, radius, `v`: speed and `l`: length.

Explanation

(a) `F=G (m_(1)m_(2))/(r^(2)) rArrG=(Fr^(2))/(m_(1) m_(2))`
`[G]=(MLT^(-2).L^(2))/(M^(2))=M^(-1)L^(3)T^(-2)`
(b) `F=6pietarv rArr eta=(F)/(6pirv)`
`[eta]=(MLT^(-2))/(L.LT^(-1))=ML^(-1) T^(-1)`
(c) `S=(F)/(l)`
`[S]=(MLT^(-2))/(L)=MT^(-2)`