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Question

Physics Question on Surface tension

Two capillary tubes A and B of diameter 1mm1\, mm and 2mm2\, mm respectively are dipped vertically in a liquid. If the capillary rise in A is 6 cm, then the capillary rise in B is

A

2 cm

B

3 cm

C

4 cm

D

6 cm

Answer

3 cm

Explanation

Solution

Diameters of capillary tube, A=1mmA=1\, mm
Diameters of capillary tube, B=2mmB=2\, mm
and h1=6mh_{1}=6\, m
We know that, h1I1=h2I2h_{1} I_{1}=h_{2} I_{2}
6×1=h2×2\Rightarrow 6 \times 1=h_{2} \times 2
\Rightarrow Capilliary rise in tube BB,
h2=62=3cmh_{2}=\frac{6}{2}=3\, cm