Question

If mass \(M\), pressure \(P\) and velocity \(V\) are taken as fundamental quantities, then the dimensional formula of surface tension is

• A. \(\left[M^{\frac23}P^{\frac23}V^{\frac13}\right]\)
• B. \(\left[M^{\frac13}P^{\frac13}V^{\frac23}\right]\)
• C. \(\left[M^{\frac13}P^{\frac23}V^{\frac23}\right]\)
• D. \(\left[M^{\frac23}P^{\frac13}V^{\frac23}\right]\)

Hint:

When the fundamental quantities are changed, first write the dimensions of the new base quantities in terms of \(M,L,T\), assume unknown powers, and compare exponents.

Answer 1

The Correct Option is C