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Properties of Matter question

2020 · Q123
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Properties of Matter question

2020 · Q123

NEETPhysicsProperties of MatterMCQ+4 / −1
A capillary tube of radius r is immersed in water and water rises in it to a height h. The mass of the water in the capillary is 5 g. Another capillary tube of radius 2r is immersed in Water. The mass of water that will rise in this tube is :
  1. A
    5.0 g
  2. B
    10.0 g
  3. C
    20.0 g
  4. D
    2.5 g
View written solutionFree

Correct answer: B

The weight of water in the capillary is balanced by the surface tension force.

mg = 2π\pi πr.T.cosθ\theta θ

Since constant, m is directly proportional to r.

m ∝\propto∝ r

m2m1=r2r1{{{m_2}} \over {{m_1}}} = {{{r_2}} \over {{r_1}}}m1​m2​​=r1​r2​​

m25=2rr{{{m_2}} \over 5} = {{2r} \over r}5m2​​=r2r​

∴\therefore∴ m2{m_2}m2​ = 10 grams.

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