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Mechanical Properties of Fluids · Question 31

JEE Main 2025 (Online) 28th January Evening ShiftMCQEasy📈 Topic in 13% papers+4−1
1

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

Answer

(2) 600 cm3

Solution

Volume of cube: V = 103 = 1000 cm3

Floating: weight = buoyant force mg = w Vin g

Vin = m w = 400 g1 g cm-3 = 400 cm3

Vout = 1000 - 400 = 600 cm3

Answer: (2)

JEE Main 2025 (Online) 28th January Evening Shift

Keep practising — Mechanical Properties of Fluids

2

A liquid of density 600 kg/m3 flowing steadily in a tube of varying cross-section. The cross-section at a point A is 1.0 cm2 and that at B is 20 mm2. Both the points A and B are in same horizontal plane, the speed of the liquid at A is 10 cm/s. The difference in pressures at A and B points is Pa.

  1. 18
  2. 144
  3. 36
  4. 72
JEE Main 2026 (Online) 8th April Evening Shift
3

A spherical liquid drop of radius R acquires the terminal velocity v1 when falls through a gas of viscosity . Now the drop is broken into 64 identical droplets and each droplet acquires terminal velocity v2 falling through the same gas. The ratio of terminal velocities v1/v2 is .

  1. 4
  2. 0.25
  3. 32
  4. 16
JEE Main 2026 (Online) 8th April Evening Shift
4

A cylindrical vessel of 40 cm radius is completely filled with water and its capacity is 528 dm3 (dm : decimeter). The vessel is placed on a solid block of exactly same height as vessel. If a small hole is made at 70 cm below the top of water level, then horizontal range of water falling on the ground in the beginning is cm.

  1. 120 2
  2. 140 2
  3. 140 3
  4. 120 3
JEE Main 2026 (Online) 6th April Evening Shift
5

Eight mercury drops, each of radius r, coalesce to form a bigger drop. The surface energy released in this process is . (S is the surface tension of mercury).

  1. 8 r2S
  2. 16 r2S
  3. 64 r2S
  4. 4 r2S
JEE Main 2026 (Online) 5th April Evening Shift
6

The surface tension of a soap solution is 3.5 10-2 N/m. The work required to increase the radius of a soap bubble from 1 cm to 2 cm is 10-6 J. The value of is . ( =22/7)

JEE Main 2026 (Online) 4th April Morning Shift
7

A water spray gun is attached to a hose of cross sectional area 30 cm2. The gun comprises of 10 perforations each of cross sectional area of 15 mm2. If the water flows in the hose with the speed of 50 cm/s, calculate the speed at which the water flows out from each perforation. (Neglect any edge effects)

  1. 100 m/s
  2. 10 m/s
  3. 1000 m/s
  4. 15 102 m/s
JEE Main 2026 (Online) 4th April Evening Shift
8

A liquid drop of diameter 2 mm breaks into 512 droplets. The change in surface energy is 10-6 J. The value of is . (Take surface tension of liquid = 0.08 N/m)

  1. 10
  2. 7
  3. 8
  4. 11
JEE Main 2026 (Online) 2nd April Morning Shift
9

A tub is filled with water and a wooden cube 10 cm 10 cm 10 cm is placed in the water. The wooden cube is found to float on the water with a part of it submerged in water. When a metal coin is placed on the wooden cube, the submerged part is increased by 3.87 cm. The mass of the metal coin is gram. (Take water density as 1 g/cm3 and density of wood as 0.4 g/cm3)

JEE Main 2026 (Online) 2nd April Morning Shift
10

The surface tension of a soap bubble is 0.03 N/m. The work done in increasing the diameter of bubble from 2 cm to 6 cm is 10-4 J. The value of is . (Take =3.14)

  1. 0.86
  2. 0.64
  3. 1.92
  4. 7.68
JEE Main 2026 (Online) 2nd April Evening Shift
11

If an air bubble of diameter 2 mm rises steadily through a liquid of density 2000 kg/m3 at a rate of 0.5 cm/s, then the coefficient of viscosity of liquid is Poise. (Take g=10 m/s2)

  1. 0.88
  2. 8.8
  3. 88.8
  4. 0.088
JEE Main 2026 (Online) 2nd April Evening Shift

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