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Properties of Matter question

2023 · Shift 2 · Q45
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Properties of Matter question

2023 · Shift 2 · Q45

JEE AdvancedPhysicsProperties of MatterNumerical+4 / −1
An incompressible liquid is kept in a container having a weightless piston with a hole. A capillary tube of inner radius 0.1 mm0.1 \mathrm{~mm}0.1 mm is dipped vertically into the liquid through the airtight piston hole, as shown in the figure. The air in the container is isothermally compressed from its original volume V0V_0V0​ to 100101V0\frac{100}{101} V_0101100​V0​ with the movable piston. Considering air as an ideal gas, the height (h)(h)(h) of the liquid column in the capillary above the liquid level in cm\mathrm{cm}cm is ‾\underline{\hspace{2cm}}​. [Given: Surface tension of the liquid is 0.075 N m−10.075 \mathrm{~N} \mathrm{~m}^{-1}0.075 N m−1, atmospheric pressure is 105 N m−210^5 \mathrm{~N} \mathrm{~m}^{-2}105 N m−2, acceleration due to gravity (g)(\mathrm{g})(g) is 10 m s−210 \mathrm{~m} \mathrm{~s}^{-2}10 m s−2, density of the liquid is 103 kg m−310^3 \mathrm{~kg} \mathrm{~m}^{-3}103 kg m−3 and contact angle of capillary surface with the liquid is zero] JEE Advanced 2023 Paper 2 Online Physics - Properties of Matter Question 3 English
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