Water rises upto a height 'h' in a capillary tube on the surface of the earth. The value of ' $\mathrm{h}$ '…

Water rises upto a height 'h' in a capillary tube on the surface of the earth. The value of ' $\mathrm{h}$ ' will increase if the experimental setup is kept in $[\mathrm{g}=$ acceleration due to gravity]
  1. a lift going upward with a certain acceleration.
  2. a lift going down with acceleration
  3. accelerating train.
  4. a satellite rotating close to earth.

Solution

$h=\frac{2 T \cos \theta}{r \rho g} \quad \therefore h \propto \frac{1}{g}$ For a lift going down with acceleration $a$, the effective value of $g$ is $g^{\prime}=g-a$ $g^{\prime}=g-a$ $\mathrm{g}^{\prime} < \mathrm{g} \quad \therefore \mathrm{h}$ will increase.

Asked in: MHT CET 2020 (19 Oct Shift 2)

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