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Mechanical Properties of Fluids

JEE Main 2025 (Online) 23rd January Evening ShiftNumericalMedium📈 Topic in 13% papers+4
Ques. 1JEE Main 2025, 23 January (Evening Shift)

An air bubble of radius 1.0 mm is observed at a depth 20 cm below the free surface of a liquid having surface tension 0.095 J/m2 and density 103 kg/m3. The difference between pressure inside the bubble and atmospheric pressure is N/m2. (Take g=10 m/s2)

Answer

2190

Solution

Pressure in the liquid at depth h is Patm+ gh; an air bubble has one surface, adding 2Tr.

[figure]

Pin-Patm= gh+ 2Tr=103 10 0.2+ 2 0.09510-3

=2000+190=2190 N/m2

Answer: 2190

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Ques. 2JEE Main 2025, 22 January (Morning Shift)

Two soap bubbles of radius 2 cm and 4 cm , respectively, are in contact with each other. The radius of curvature of the common surface, in cm , is .

Ques. 3JEE Main 2025, 22 January (Evening Shift)

A tube of length L is shown in the figure. The radius of cross section at the point (1) is 2 cm and at the point (2) is 1 cm , respectively. If the velocity of water entering at point (1) is 2 m/s, then velocity of water leaving the point (2) will be [figure]

  1. 4 m/s
  2. 6 m/s
  3. 2 m/s
  4. 8 m/s
Ques. 4JEE Main 2025, 22 January (Evening Shift)

A small rigid spherical ball of mass M is dropped in a long vertical tube containing glycerine. The velocity of the ball becomes constant after some time. If the density of glycerine is half of the density of the ball, then the viscous force acting on the ball will be (consider g as acceleration due to gravity)

  1. 2Mg
  2. 32Mg
  3. Mg2
  4. Mg

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