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Mechanical Properties of Fluids · Question 28

JEE Main 2025 (Online) 2nd April Evening ShiftMCQEasy📈 Topic in 23% papers+4−1
1

Two water drops each of radius 'r' coalesce to form a bigger drop. If 'T' is the surface tension, the surface energy released in this process is :

  1. 4 r2 T [2 - 21/3 ]
  2. 4 r2 T[1 + 2]
  3. 4 r2 T [2 - 22/3 ]
  4. 4 r2 T[ 2 - 1]

Answer

(3) 4 r2 T [2 - 22/3 ]

Solution

Volume is conserved: 43 R3 = 2 43 r3

R = 21/3 r

Initial surface area = 2 4 r2

Final surface area = 4 R2 = 4 r2 22/3

Energy released = T (decrease in area)

= 4 r2 T [2 - 22/3 ]

Answer: (3)

JEE Main 2025 (Online) 2nd April Evening Shift

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2

In a hydraulic lift, the surface area of the input piston is 6 cm2 and that of the output piston is 1500 cm2. If 100 N force is applied to the input piston to raise the output piston by 20 cm, then the work done is kJ.

JEE Main 2025 (Online) 29th January Morning Shift
3

Consider following statements: Choose the correct answer from the options given below:

  1. B, C, D Only
  2. C, D, E Only
  3. A, D, E Only
  4. A, B, C Only
JEE Main 2025 (Online) 28th January Morning Shift
4

A 400 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water? (Given: density of water = 1000 kg m-3)

  1. 400 cm3
  2. 600 cm3
  3. 1400 cm3
  4. 4000 cm3
JEE Main 2025 (Online) 28th January Evening Shift

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