A small sphere of radius \(r\) falls from rest in a viscous liquid. As a result, heat is produced due to the viscous force. The rate of production of heat when the sphere attains its terminal velocity is proportional to:
1. \(r^3\)
2. \(r^2\)
3. \(r^5\)
4. \(r^4\)

Subtopic:  Stokes' Law |
 54%
From NCERT
NEET - 2018
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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 10mm 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 

  

(a) 650 kg m-3

(b) 425 kg m-3

(c) 800 kg m-3

(d) 928 kg m-3

Subtopic:  Properties of Fluids |
 70%
From NCERT
NEET - 2017
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A rectangular film of liquid is extended from (4 cm× 2 cm) to \((4 ~\text{cm}\times 5 ~\text{cm})\). If the work done is 3×10-4 J, the value of the surface tension of the liquid is: 

1. 0.250 Nm-1 2. 0.125 Nm-1
3. 0.2 Nm-1 4. 8.0 Nm-1
Subtopic:  Surface Tension |
 63%
From NCERT
NEET - 2016
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Three liquids of densities ρ1, ρ2 and  ρ3 (with ρ1>ρ2>ρ3), having the same value of surface tension T, rise to the same height in three identical capillaries. The angles of contact θ1,θ2 and θ3 obey:

1.  \(\frac{\pi}{2}>\theta_1>\theta_2>\theta_3 \geq 0\)    
2. \(0 \leq \theta_1<\theta_2<\theta_3<\frac{\pi}{2}\)
3. \(\frac{\pi}{2}<\theta_1<\theta_2<\theta_3<\pi\)
4. \(\pi>\theta_1>\theta_2>\theta_3>\frac{\pi}{2}\)

Subtopic:  Capillary Rise |
 63%
From NCERT
NEET - 2016
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 Two non-mixing liquids of densities ρ and nρ(n>1) are put in a container. The height of each liquid is h. A solid cylinder  floats with its axis vertical and length pL p<1 in the denser liquid. The density of the cylinder is d. The density d is equal to:

1. {2+(n+1)p}ρ             

2. {2+(n-1)p}ρ

3. {1+(n-1)p}ρ             

4. {1+(n+1)p}ρ

Subtopic:  Archimedes' Principle |
 60%
From NCERT
NEET - 2016
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A rectangular film of liquid is extended from \((4~\text{cm} \times 2~\text{cm})\) to \((5~\text{cm} \times 4~\text{cm}).\) If the work done is \(3\times 10^{-4}\) J, the value of the surface tension of the liquid is:
1. \(0.250\) Nm-1
2. \(0.125\) Nm-1
3. \(0.2\) Nm-1
4. \(8.0\) Nm-1

Subtopic:  Surface Tension |
 69%
From NCERT
NEET - 2016
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