JEE PHYSICS MCQ: MECHANICAL PROPERTIES OF FLUIDS

1 Medium

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Application +4 | -1

The lower end of a capillary tube of diameter

2.00 \mathrm{~mm}

is dipped

8.00 \mathrm{~cm}

below the surface of water in a beaker. What is the pressure required in the tube in order to blow a hemispherical bubble at its end in water? The surface tension of water at the temperature of the experiment is

7.30 \times 10^{-2} \mathrm{~Nm}^{-1} .1

atmospheric pressure

=1.01 \times 10^5 \mathrm{~Pa}

, density of water

=1000 \mathrm{~kgm}^{-3}, g=9.80 \mathrm{~ms}^{-2}

. Also calculate the excess pressure.

View answer and explanation

Correct option: A

146 \mathrm{~Pa}, 1.02 \times 10^{3} \mathrm{~Pa}

Option A (146 Pa,

1.02 \times 10^{3}

Pa) is incorrect. The excess pressure is 146 Pa and the pressure inside the bubble is

1.0193 \times 10^{5}

Pa which is approximately

1.02 \times 10^{5}

Pa. The correct answer is A (146 Pa,

1.02 \times 10^{5}

Pa).

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15 \mathrm{~m} / \mathrm{s}

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=10^{-2}

poise. A liquid rises to a height of 2 cm in a capillary tube. The angle of contact between the solid and the liquid is zero. The tube is depressed more so that the top of capillary tube is only one cm above the liquid. Then the apparent angle of contact between the solid and liquid is An object weights

m_1

in a liquid of density

d_1

and that in liquid of density

d_2

m_2

. The density of th object is