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Standard XII

Physics

Other Examples of SHM

Two capillary...

Question

Two capillary tubes A and B of radii 0.2 cm and 0.4 cm are dipped in the same liquid. The ratio of heights through which liquid rises in the tubes A and B is:

1 : 2

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2 : 1

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1 : 4

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4 : 1

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Solution

The correct option is B $2 : 1$
By using rise in capillary tube formula
$h = \frac{2 T c o s θ}{ρ g r}$
$h_{A} = \frac{2 T (1)}{ρ (0.2) g}$ ---------(1)
$h_{B} = \frac{2 T (1)}{ρ (0.4) g}$ ---------(2)
Dividing (1) and (2) we get
$\frac{h_{A}}{h_{B}} = \frac{0.4}{0.2} = 2$
Hence, ratio of heights in A and B is $2 : 1$

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Two capillary tubes A and B of radii 0.2 cm and 0.4 cm are dipped in the same liquid. The ratio of heights through which liquid rises in the tubes A and B is:

The correct option is B 2:1By using rise in capillary tube formula h=2TcosθρgrhA=2T(1)ρ(0.2)g ---------(1)hB=2T(1)ρ(0.4)g ---------(2)Dividing (1) and (2) we gethAhB=0.40.2=2Hence, ratio of heights in A and B is 2:1