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A capillary tube of radius r is immersed...

A capillary tube of radius r is immersed in water and water rises in to a height h. The mass of water in the capillary tube is 5g. Another capillary tube of radius 2 r is immersed in water. The mass of water that will rise in this tube is

A

2.5 g

B

5.0 g

C

10 g

D

20 g

Text Solution

Verified by Experts

The correct Answer is:
C
`h= (2sigma cos theta)/(rhorg)`
`m=pir^2hrho=pir^2((2sigmacostheta)/(rhogr))xxrho`
`= (pirxx2sigmacos theta)/(g)`
`mprop r`
`implies m_1/m_2=r/(2r)=1/2`
`impliesm_2=2m_1= 2xx5 =10g`
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