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Mechanical Properties of Fluids

JEE Main 2024 (Online) 30th January Evening ShiftNumericalEasy📈 Topic in 26% papers+4
Ques. 1JEE Main 2024, 30 January (Evening Shift)

A big drop is formed by coalescing 1000 small identical drops of water. If E1 be the total surface energy of 1000 small drops of water and E2 be the surface energy of single big drop of water, then E1:E2 is x:1 where x= .

Answer

10

Solution

Volume conserved: 1000 43 r3= 43 R3 R=10r

Surface energy =S area

E1E2= 1000 4 r2S4 (10r)2S= 1000100=10

x=10

Answer: 10

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Ques. 2JEE Main 2024, 29 January (Morning Shift)

Given below are two statements: In the light of the above statements, choose the most appropriate 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 true but Statement II is false
  4. Statement I is false but Statement II is true
Ques. 3JEE Main 2024, 29 January (Morning Shift)

In a test experiment on a model aeroplane in wind tunnel, the flow speeds on the upper and lower surfaces of the wings are 70 ms-1 and 65 ms-1 respectively. If the wing area is 2 m2, the lift of the wing is N. (Given density of air =1.2 kg m-3)

Ques. 4JEE Main 2024, 29 January (Evening Shift)

A small liquid drop of radius R is divided into 27 identical liquid drops. If the surface tension is T, then the work done in the process will be:

  1. 4 R2T
  2. 8 R2T
  3. 18 R2T
  4. 3 R2T
Ques. 5JEE Main 2024, 27 January (Morning Shift)

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

  1. Statement I is correct but statement II is incorrect
  2. Statement I is incorrect but Statement II is correct
  3. Both Statement I and Statement II are incorrect
  4. Both Statement I and Statement II are correct
Ques. 6JEE Main 2024, 27 January (Evening Shift)

The reading of pressure metre attached with a closed pipe is 4.5 104 N/m2. On opening the valve, water starts flowing and the reading of pressure metre falls to 2.0 104 N/m2. The velocity of water is found to be V m/s. The value of V is .

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