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Mechanical Properties of Fluids

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

Answer

(2) P1-P2

Solution

Horizontal pipe, so no height term in Bernoulli's equation.

[figure]

Closed: v=0, pressure P1. Open: speed v, pressure P2.

P1=P2+ 12 v2 v= 2(P1-P2)

v P1-P2

Answer: (2)

Keep practising — Mechanical Properties of Fluids

Ques. 2JEE 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. 3JEE 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. 4JEE 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. 5JEE 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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