Water rises upto a height of 4 cm in a capillary tube. The lower end… | MHT CET 2021 (23 Sep, Shift 2)

Q53MHT CET 2021 · 23 SEP · SHIFT 2Difficult

Angle of Contact & Capillarity

Water rises upto a height of $4\text{ cm}$ in a capillary tube. The lower end of the capillary tube is at a depth of $8\text{ cm}$ below the water level. The mouth pressure required to blow an air bubble at the lower end of the capillary will be ' $X$ ' $\text{cm}$ of water, where $X$ is equal to

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Answer: (d)

Capillary rise of $4$ cm means excess pressure across the meniscus $\dfrac{2T}{r} = h\rho g$ = $4$ cm of water.
A bubble of the same radius at the lower end needs this excess pressure $2T/r$ = $4$ cm of water.
It must also overcome the hydrostatic pressure at depth $8$ cm = $8$ cm of water.
Required pressure $X = 8 + 4 = 12$ cm of water, answer (d).

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Angle of Contact & Capillarity question from MHT CET 2021 (23 Sep, Shift 2)

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