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Question

Physics Question on mechanical properties of fluid

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

2:03

B

1:04

C

2:01

D

4:01

Answer

2:01

Explanation

Solution

For rise of liquid in capillary, h=2SRρgh = \frac{2S}{R \rho g}
h1h2=2SρgR1×ρgR22S=R2R1=0.40.2=2\therefore \:\:\: \frac{h_1}{h_2} = \frac{2S}{\rho g R_1} \times \frac{\rho g R_2}{2S} = \frac{R_2}{R_1} = \frac{0.4}{0.2} = 2