Two small spherical metal balls, having equal masses, are made from materials of densities \(\rho_1\) and \(\rho_2\) such that \(\rho_1=8\rho_2\)and having radii of \(1\) mm and \(2\) mm, respectively. They are made to fall vertically (from rest) in a viscous medium whose coefficient of viscosity equals \(\eta\) and whose density is \(0.1\rho_2\). The ratio of their terminal velocities would be:

1. \(\frac{79}{72}\) 2. \(\frac{19}{36}\)
3. \(\frac{39}{72}\) 4. \(\frac{79}{36}\)

Subtopic:  Viscosity |
 78%
From NCERT
NEET - 2019
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In a U-tube, as shown in the figure, the water and oil are in the left side and right side of the tube respectively. The height of the water and oil columns are \(15~\text{cm}\) and \(20~\text{cm}\) respectively. The density of the oil is: \(\left[\text{take}~\rho_{\text{water}}= 1000~\text{kg/m}^{3}\right]\)

              
1. \(1200~\text{kg/m}^{3}\)
2. \(750~\text{kg/m}^{3}\)
3. \(1000~\text{kg/m}^{3}\)
4. \(1333~\text{kg/m}^{3}\)

Subtopic:  Pressure |
 86%
From NCERT
NEET - 2019
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The velocity of a small ball of mass m and density ρ when dropped in a container filled with glycerin of density σ becomes constant after sometime. The viscous force acting on the ball in the final stage is:-

1. mgσρ

2. mg1+σρ

3. mg1-σρ

4. mg

Subtopic:  Viscosity |
 73%
NEET - 2021
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A soap bubble, having a radius of \(1~\text{mm}\), is blown from a detergent solution having a surface tension of\(2.5\times 10^{-2}~\text{N/m}\). The pressure inside the bubble equals at a point \(Z_0\) below the free surface of the water in a container. Taking \(g = 10~\text{m/s}^{2}\), the density of water \(= 10^{3}~\text{kg/m}^3\), the value of \(Z_0\) is:

1. \(0.5~\text{cm}\) 2. \(100~\text{cm}\)
3. \(10~\text{cm}\) 4. \(1~\text{cm}\)
Subtopic:  Surface Tension |
 55%
From NCERT
NEET - 2019
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A small hole of an area of cross-section \(2~\text{mm}^2\) is present near the bottom of a fully filled open tank of height \(2~\text{m}\). Taking \(g = 10~\text{m/s}^2\), the rate of flow of water through the open hole would be nearly:
1. \(6.4\times10^{-6}~\text{m}^{3}/\text{s}\)
2. \(12.6\times10^{-6}~\text{m}^{3}/\text{s}\)
3. \(8.9\times10^{-6}~\text{m}^{3}/\text{s}\)
4. \(2.23\times10^{-6}~\text{m}^{3}/\text{s}\)

Subtopic:  Bernoulli's Theorem |
 73%
From NCERT
NEET - 2019
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A capillary tube of radius \(r\) is immersed in water and water rises in it to a height \(h.\) The mass of the water in the capillary is \(5\) g. Another capillary tube of radius \(2r\) is immersed in water. The mass of water that will rise in this tube is:
1. \(5.0\) g

2. \(10.0\) g

3. \(20.0\) g

4. \(2.5\) g

Subtopic:  Capillary Rise |
 61%
From NCERT
NEET - 2020
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A liquid does not wet the solid surface if the angle of contact is:
1. equal to \(45^{\circ}\)
2. equal to \(60^{\circ}\)
3. greater then \(90^{\circ}\)
4. zero 

Subtopic:  Surface Tension |
 77%
From NCERT
NEET - 2020
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A barometer is constructed using a liquid (density = \(760~\text{kg/m}^3\)). What would be the height of the liquid column, when a mercury barometer reads \(76\) cm? 
(density of mercury = \(13600~\text{kg/m}^3\))

1. \(1.36\) m 2. \(13.6\) m
3. \(136\) m 4. \(0.76\) m

Subtopic:  Pressure |
 77%
From NCERT
NEET - 2020
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If a soap bubble expands, the pressure inside the bubble:
1. is equal to the atmospheric pressure 2. decreases
3. increases 4. remains the same
Subtopic:  Surface Tension |
 68%
From NCERT
NEET - 2022
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A spherical ball is dropped in a long column of a highly viscous liquid. The curve in the graph shown, which represents the speed of the ball (\(v\)) as a function of time (\(t\)) is:
           
1. \(D\) 
2. \(A\) 
3. \(B\) 
4. \(C\)
Subtopic:  Viscosity |
 70%
From NCERT
NEET - 2022
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