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Question: If energy E, velocity V and time t are chosen as fundamental quantities, then the dimensional formul...

If energy E, velocity V and time t are chosen as fundamental quantities, then the dimensional formula of surface tension is

A

[EV–2T–2]

B

[EV–1T–2]

C

[EV–2T–1]

D

[E2V–1T–2]

Answer

EV<sup>2</sup>T<sup>2</sup>EV<sup>–2</sup>T<sup>–2</sup>

Explanation

Solution

T µ Ea Vb tc

[M1L0T–2] = [M1L2T2]a [L1T–1]b [T1]c

solving we get

a = 1, b = – 2, c = –2