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Mechanical Properties of Fluids

JEE Main 2025 (Online) 24th January Morning ShiftMCQMedium📈 Topic in 24% papers+4−1
Ques. 1JEE Main 2025, 24 January (Morning Shift)

The amount of work done to break a big water drop of radius 'R' into 27 small drops of equal radius is 10 J. The work done required to break the same big drop into 64 small drops of equal radius will be

  1. 20 J
  2. 10 J
  3. 5 J
  4. 15 J

Answer

(4) 15 J

Solution

W=T A; r= Rn1/3 A=4 R2 (n1/3-1 )

W n1/3-1: n=27 2, n=64 3

W64=10 32=15 J

Answer: (4)

Keep practising — Mechanical Properties of Fluids

Ques. 2JEE Main 2025, 23 January (Morning Shift)

Given below are two statements: In the light of the above statements, choose the correct answer from the options given below

  1. Both Statement I and Statement II are false
  2. Both Statement I and Statement II are true
  3. Statement I is false but Statement II is true
  4. Statement I is true but Statement II is false
Ques. 3JEE Main 2025, 23 January (Evening Shift)

Water flows in a horizontal pipe whose one end is closed with a valve. The reading of the pressure gauge attached to the pipe is P1. The reading of the pressure gauge falls to P2 when the valve is opened. The speed of water flowing in the pipe is proportional to

  1. (P1-P2)2
  2. P1-P2
  3. P1-P2
  4. (P1-P2)4
Ques. 4JEE 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)

Ques. 5JEE 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. 6JEE 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. 7JEE 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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