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**Q 1. A soap bubble, having radius of 1 mm, is blown from a detergent solution having a surface tension of 2.5 × 10 ^{-2} N/m. The pressure inside the bubble equals at a point Z_{0} below the free surface of water in a container. Taking g = 10 m/s^{2}, density of water = 10^{3} kg/m^{3}, the value of Z_{0} is [2019]**C

A: 100 cm

B: 10 cm

C: 1 cm

D: 0.5 cm

Ans:

Excess pressure = 4T/R, Gauge pressure

A: 12.6 × 10

B: 8.9 × 10

C: 2.23 × 10

D: 6.4 × 10

Ans:

Rate of liquid flow

A: r

B: r

C: r

D: r

Ans:

Solution:

**Q 4. A U tube with both ends open to the atmosphere, is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of 10 mm above the water level on the other side. Meanwhile the water rises by 65 mm from its original level (see diagram). The density of the oil is:- [2017]****A: 425 kg m ^{–3}B: 800 kg m^{–3}C: 928 kg m^{–3}D: 650 kg m^{–3}Ans:** C

A: {1 + (n - 1)p}ρ

B: {1 + (n + 1)p}ρ

C: {2+(n + 1)p}ρ

D: {2 + (n - 1)p}ρ

Ans:

A: 1.4 x 10

B: 0.8 x 10

C: 1.0 x 10

D: 1.2 x 10

Ans:

**Q 7. A wind with speed 40 m/s blows parallel to the roof of a house. The area of the roof is 250 m ^{2}. Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the direction of the force will be:**

A: 2.4 x 10

B: 4.8 x 10

C: 4.8 x 10

D: 2.4 x 10

Ans:

**Q 8. A certain number of spherical drops of a liquid of radius ‘r’ coalesce to form a single drop of radius ‘R’ and volume ‘V’. If ‘T’ is the surface tension of the liquid, then: [2014]A: B: energy is neither released nor absorbedC: D: Ans: **A

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