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Standard VIII

Chemistry

Surface Tension

A vessel, who...

Question

A vessel, whose bottom has round holes with diameter of 0.1 mm, is filled with water. The maximum height to which the water can be filled without leakage is-
(S.T of water $= 75 d y n e / c m, g = 1000 c m / s^{2}$ )

100 cm

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75 cm

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50 cm

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30 cm

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Solution

The correct option is D 30 cm
The water can be filled upto a height such that capillary rise does not take place within the holes.

The expression is given by, $H = \frac{2 T c o s θ}{ρ g r}$

Substituting the values of the quantities,

T = 0.075 N/m
$θ = 0$
$ρ = 10^{3}$
g = 10
R = $0.05 \times 10^{- 3} m$

Evaluating the expression, gives us H = 0.3 m or 30 cm

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A vessel, whose bottom has round holes with diameter of 0.1 mm, is filled with water. The maximum height to which the water can be filled without leakage is-(S.T of water =75dyne/cm,g=1000cm/s2)

A vessel, whose bottom has round holes with diameter of 0.1 mm, is filled with water. The maximum height to which the water can be filled without leakage is-
(S.T of water $= 75 d y n e / c m, g = 1000 c m / s^{2}$ )