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If energy `(E )` , velocity `(V)` and time `(T)` are chosen as the fundamental quantities , the dimensions formula of surface tension will be

A

`[EV^(2)T^(-1)]`

B

`[EV^(-1)T^(-2)]`

C

`[EV^(-2)T^(-2)]`

D

`[E^(-2)V^(-1)T^(-3)]`

Text Solution

Verified by Experts

The correct Answer is:
C
`S=E^a .V^b. T^c`
`MT^(-2) = (ML^2 T^(-2))^a .(LT^(-1))^b . T^c`
`implies a=1 , b=02 , c=-2`
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