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

Water rises upto a height ' $\mathrm{h}$ ' in a capillary tube on the surface of the earth. The value of 'h' increases, if the capillary tube apparatus is kept
  1. in a lift going upward with acceleration.
  2. on the sun.
  3. on the poles.
  4. in a lift going downward with acceleration (a) where a $ < \mathrm{g}$ (acceleration due to gravity)

Solution

$h=\frac{2 T \cos \theta}{r \rho g} \quad \therefore h \propto \frac{1}{g}$ In a lift going downwards with acceleration $a$, the apparent value of $g$ decreases and hence $b$ increases.

Asked in: MHT CET 2020 (13 Oct Shift 1)

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