The velocity of a small ball of mass \(M\) and density \(d\), when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is \(d\over 2\) then the viscous force acting on the ball will be:

1. \(\frac{3Mg}{2}\) 2. \(2Mg\)
3. \(\frac{Mg}{2}\) 4. \(Mg\)

Subtopic:  Viscosity |
 60%
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NEET - 2021
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Equal mass of three liquids are kept in three identical cylindrical vessels \(A\)\(B\) and \(C\). The densities are \(\rho_A,~\rho_B,~\rho_C\) with \(\rho_A<\rho_B<\rho_C\) . The force on the base will be:

1. maximum in vessel \(A\)
2. maximum in vessel \(B\)
3. maximum in vessel \(C\)
4. equal in all the vessels

Subtopic:  Pressure |
 58%
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Water enters through end \(A\) with a speed \(v_1\) and leaves through end \(B\) with a speed \(v_2\) of a cylindrical tube AB. The tube is always completely filled with water. In case I the tube is horizontal, in case II it is vertical with the end \(A\) upward and in case III it is vertical with the end \(B\) upward. We have \(v_1=v_2\) for:
1. case I
2. case II
3. case III
4. each one

Subtopic:  Equation of Continuity |
 52%
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Water is flowing through a long horizontal tube. Let \(P_A\) and \(P_B\) be the pressures at two points \(A\) and \(B\) of the tube.

1. \(P_A\) must be equal to \(P_B\).
2. \(P_A\) must be greater than \(P_B\).
3. \(P_A\) must be smaller than \(P_B\).
4. \(P_A\) = \(P_B\) only if the cross-sectional area at A and B are equal.

Subtopic:  Bernoulli's Theorem |
 76%
From NCERT
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A liquid is contained in a vertical tube of semicircular cross-section (figure). The contact angle is zero. The forces of surface tension on the curved part and on the flat part are in ratio:

                     

1. \(1:1\)
2. \(1:2\)
3. \(\pi:2\)
4. \(2: \pi\)

Subtopic:  Surface Tension |
From NCERT
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When a capillary tube is dipped into a liquid, the liquid neither rises nor falls in the capillary.

a. the surface tension of the liquid must be zero.
b. the contact angle must be \(90^\circ.\)
c. the surface tension may be zero.
d. the contact angle may be \(90^\circ.\)

Choose the correct option:

1. (a) and (b)
2. (b) and (c)
3. (c) and (d)
4. all of these

Subtopic:  Capillary Rise |
 50%
From NCERT
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A viscous liquid flows slowly through a pipe of cross-sectional radius \(R.\) The speed of the particles is a function of the distance from the axis of the pipe.
                   
Assume that the flow is smooth. The variation of \(v\) vs \(r\) is best given by the graph:
1. 2.
3. 4.
Subtopic:  Viscosity |
 50%
From NCERT
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A small sphere of density \(\rho\) is completely submerged in a liquid of density \(3\rho\) and released. The magnitude of its acceleration just after release equals:
1. \(g\)
2. \(\frac g3\)
3. \(2g\)
4. \(3g\)
Subtopic:  Archimedes' Principle |
 62%
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Streamline flow is more likely for liquids with,

(a) high density.
(b) high viscosity.
(c) low density.
(d) low viscosity.


Choose the correct option:
1. (a), (b)
2. (c), (d)
3. (b), (c)
4. (a), (d)

Subtopic:  Types of Flows |
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A wooden block with a coin placed on its top, floats in water as shown in the figure.

    

The distances \(\mathrm{l}\) and \(\mathrm{h}\) are shown in the figure. After some time, the coin falls
into the water. Then,

(a) \(\mathrm{l}\) decreases
(b) \(\mathrm{h}\) decreases
(c) \(\mathrm{l}\) increases
(d) \(\mathrm{h}\) increases

Choose the correct alterative/s:

1. (b), (c)
2. (a), (d)
3. (c), (d)
4. (a), (b)

Subtopic:  Archimedes' Principle |
 59%
From NCERT
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