Water rises to a height $10 \mathrm{~cm}$ in a capillary tube. It will rise to a height which is much more…

Water rises to a height $10 \mathrm{~cm}$ in a capillary tube. It will rise to a height which is much more than $10 \mathrm{~cm}$ in a very long capillary tube if the apparatus is kept.
  1. on the surface of moon
  2. at the north pole
  3. in a lift moving up with an acceleration
  4. on the equator

Solution

Rise in a capillary tube is given by $\begin{aligned} & \mathrm{h}=\frac{2 \mathrm{~T} \cos \theta}{\mathrm{r} \rho \mathrm{g}} \\ & \therefore \mathrm{h} \propto \frac{1}{\mathrm{~g}} \end{aligned}$ Smaller the value of $g$. greater will be h. Out of the given options, value $g$ will be minimum for option (A) .

Asked in: MHT CET 2021 (21 Sep Shift 2)

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