Q138 / 160 · WBJEE 2015 · Physics

A $20 \mathrm{cm}$ long capillary tube is dipped vertically in water and the liquid rises upto $10 \mathrm{cm} .$ If the entire system is kept is a freely falling platform, the length of the water column in the tube will be

  • A
    $5 \mathrm{cm}$
  • B
    $10 \mathrm{cm}$
  • C
    $15 \mathrm{cm}$
  • Correct answer
    D
    $20 \mathrm{cm}$

Solution

The height raised by liquid in capillary tube $$ h=\frac{2 I \cos \theta}{\rho g h} $$ As in freely falling platform, a body experience weightlessness. So, the liquid will rise upto to length of the capillary. i.e. height raised by the liquid will be $20 \mathrm{cm}$.

Hence, the correct answer is option: 'D'.

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