Q 11-01-133JEE MainJEE Main 2023 (24 Jan, Shift 2)Medium
The frequency ($\nu$) of an oscillating liquid drop may depend upon radius ($r$) of the drop, density ($\rho$) of liquid and the surface tension ($s$) of the liquid as $\nu=r^a\rho^bs^c$. The values of $a$, $b$ and $c$ respectively are
Answer: (A) $\left(-\frac32,-\frac12,\frac12\right)$
$[\text{T}^{-1}]=[\text{L}]^a[\text{ML}^{-3}]^b[\text{MT}^{-2}]^c$.
- T: $-2c=-1\Rightarrow c=\tfrac12$
- M: $b+c=0\Rightarrow b=-\tfrac12$
- L: $a-3b=0\Rightarrow a=-\tfrac32$
Solution by Sreeraj P, M.Sc Physics