JEE Physics - Mechanical Properties of Fluids - Surface Tension

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Question - 1

A rectangular frame of 7 cm x 5 cm hangs vertically by an arm of a balance. When its edge is just dipped in soap solution in container, extra mass of 0.4 g must be placed in opposite arm to balance the pull of the film in order to just raise it. Determine surface tension of soap solution in dyne/cm. 

  • A 25
  • B 25.00
  • C 29
  • D 28.00

Question - 2

A soap bubble of diameter 2 cm is formed inside another soap bubble of diameter 4 cm. The radius of another soap bubble which has the same pressure difference as that between the inside of the smaller and outside of large soap bubble is N x 10-2 m. Calculate N.

  • A 0.67
  • B 0.56
  • C 1
  • D 3.4

Question - 3

There is a small hole in a hollow sphere. When it is taken toa depth of 20 cm under water, water enters in it. If the surface tension of water is 0.07N/m, the radius of the hole in \(\mu\)m is ______________(take g = 10m/s2)

  • A 70
  • B 12
  • C 34
  • D 45

Question - 4

A soap bubble is formed from 10-3 g of soap solution. When it is filled with hydrogen of density 0.00009 g/cm3, it floats in impure argon gas of density 0.00199 g/cm3. If surface tension of soap solution is 12 dyne/cm, then the excess pressure, in dyne per cm2, is nearly  . (Take \(\pi\)-1 = 0.318) 

  • A 65
  • B 67
  • C 96
  • D 98

Question - 5

If pressure required to blow a bubble of radius 4 mm at the end of the capillary tube immersed in water is 400 N/m2 plus the atmospheric pressure then, upto what depth (in cm) from the surface of water is capillary immersed in water? (Take g = 10 m/s2, density of water = 103 kg/m3, surface tension of water = 0.07 N/m) 

  • A 2
  • B 3.65
  • C 4.01
  • D 5

Question - 6

A small cuboid of mass 1200 g floats on water with its surface (8 cm x 4 cm) getting wet by the water completely. The distance (in cm) through which the cuboid is displaced only because of the presence of surface tension would be _________ (Surface tension of water = 0.07 N/m, g = 10 in/s2, density of water = 1000 kg/m3, density of cuboid = 2500 kg/m3) 

  • A 37.55
  • B 38
  • C 56
  • D 23

Question - 7

A uniform capillary tube of length l and inner radius r with its upper end sealed is submerged vertically into water. The outside pressure is Po and surface tension of water is T. When water levels inside and outside capillary coincide, length of capillary submerged into a water is \(\frac{2 l}{\left(2+\frac{\mathrm{P}_{0} \mathrm{r}}{\mathrm{cT}}\right)}\). Find the value of c.

  • A 1
  • B 2
  • C 3
  • D 4

Question - 8

A straw 10 cm long floats on water. The water film on i‘ne side has surface tension of 0.072 N/ m.) On the ether side, camphor reduces the surface tension to 0.056 N/ m. The resultant -force acting on the draw in dyne is __________

  • A 220
  • B 230
  • C 120
  • D 160

Question - 9

If W is the amount of geed: done in forming a soup bubble of volume calculate volume of the bubble (in terms of l) when amount of work done is 36W. 

  • A 216
  • B 340
  • C 560
  • D 590

Question - 10

A capillary tube of radius r is immersed and water rises in it to a height h. The ma water in the capillary tube is 12 g. If another capillary of radius 4r is immersed in water, then the mass of water that would rise in this tube will be__________ g. 

  • A 48
  • B 12
  • C 40
  • D 50
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