1. Tardigrade
  2. Question
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  4. On dipping a capillary of radius 'r' in water, water rises upto a height H and potential energy of water is u1. If a capillary of radius 2 r is dipped in water, then the potential energy is u 2. The ratio ( u 1/ u 2) is

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Q. On dipping a capillary of radius 'r' in water, water rises upto a height $H$ and potential energy of water is $u_{1}$. If a capillary of radius $2 r$ is dipped in water, then the potential energy is $u _{2}$. The ratio $\frac{ u _{1}}{ u _{2}}$ is

Mechanical Properties of Solids

Solution:

$PE = mgh$
$\because m \propto r$ and $h \propto \frac{1}{ r }$
$\Rightarrow $ PE does not depends on $r$.