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Q.

A capillary tube of radius r is immersed in a liquid. The liquid rises to a height h. The corresponding mass is m. What mass of water shall rise in the capillary if the radius of the tube is doubled?

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a

3m

b

2m

c

m

d

4m

answer is B.

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Detailed Solution

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Mass of liquid which rises in the capillary,
m = (πr2)hρ = πr2×2σcosθrρg×ρ or m∝r

Clearly, if the radius is doubled, the mass is doubled.

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A capillary tube of radius r is immersed in a liquid. The liquid rises to a height h. The corresponding mass is m. What mass of water shall rise in the capillary if the radius of the tube is doubled?