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Question: Two capillary tubes of radii 0.2 cm and 0.4 cm are dipped in the same liquid. The ratio of heights t...

Two capillary tubes of radii 0.2 cm and 0.4 cm are dipped in the same liquid. The ratio of heights through which liquid will rise in the tubes is

A

1 : 2

B

2 : 1

C

1 : 4

D

4 : 1

Answer

2 : 1

Explanation

Solution

h1rh \propto \frac { 1 } { r }r1h1=r2h2h1h2=r2r1=0.40.2=2:1r _ { 1 } h _ { 1 } = r _ { 2 } h _ { 2 } \Rightarrow \frac { h _ { 1 } } { h _ { 2 } } = \frac { r _ { 2 } } { r _ { 1 } } = \frac { 0.4 } { 0.2 } = 2 : 1