Q. No.A metal block of area is connected to a 0.010 kg mass via a string that passes over an ideal pulley (considered massless and frictionless), as in the figure below. A liquid film with a thickness of 0.30 mm is placed between the block and the table. When released the block moves to the right with a constant speed of 0.085 m/s. The coefficient of viscosity of the liquid is:
1. \(4.45 \times 10^{-2} ~\text{Pa-s}\)
2. \(4.45 \times 10^{-3} ~\text{Pa-s}\)
3. \(3.45 \times 10^{-2} ~\text{Pa-s}\)
4. \(3.45 \times 10^{-3} ~\text{Pa-s}\)
1. \(4.45 \times 10^{-2} ~\text{Pa-s}\)
2. \(4.45 \times 10^{-3} ~\text{Pa-s}\)
3. \(3.45 \times 10^{-2} ~\text{Pa-s}\)
4. \(3.45 \times 10^{-3} ~\text{Pa-s}\)
With an increase in temperature, the viscosity of:
(a) gases decreases.
(b) liquids increases.
(c) gases increases.
(d) liquids decreases.
Which of the following options is/are correct?
| 1. | (b, c) | 2. | (a, d) |
| 3. | (c, d) | 4. | (a, b) |
A tank has an orifice near its bottom. The volume of the liquid flowing per second out of the orifice does not depend upon:
| 1. | the area of the orifice. | 2. | the height of the liquid level above the orifice. |
| 3. | the density of the liquid. | 4. | acceleration due to gravity. |
Water rises to height h in a capillary tube. If the length of the capillary tube above the surface of water is made less than h, then:
| 1. | water does not rise at all. |
| 2. | water rises up to the top of the capillary tube, then starts overflowing like a fountain. |
| 3. | water rises up to the top of the capillary tube and stays there without overflowing. |
| 4. | water rises up to a point a little below the top and stays there. |
The wettability of a surface by a liquid depends primarily on:
| 1. | viscosity |
| 2. | surface tension |
| 3. | density |
| 4. | angle of contact between the surface and the liquid |
| Assertion (A): | When height of a tube is less than liquid rise in the capillary tube, the liquid does not overflow. |
| Reason (R): | Product of radius of meniscus and height of liquid in capillary tube always remains constant. |
| 1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
| 3. | (A) is true but (R) is false. |
| 4. | (A) is false but (R) is true. |
| Assertion (A): | Specific gravity of a fluid is a dimensionless quantity. |
| Reason (R): | It is the ratio of the density of the fluid to the density of water. |
| 1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
| 3. | (A) is true but (R) is false. |
| 4. | Both (A) and (R) are false. |
| Assertion (A): | A piece of ice floats in water, the level of water remains unchanged when the ice melts completely. |
| Reason (R): | According to Archimedes principle, the loss in weight of the body in the liquid is equal to the weight of the liquid displaced by the immersed part of the body. |
| 1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
| 3. | (A) is true but (R) is false. |
| 4. | Both (A) and (R) are false. |
Two small spherical metal balls, having equal masses, are made from materials of densities \(\rho_1\) and \(\rho_2\) such that 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 and whose density is \(0.1\). The ratio of their terminal velocities would be:
1.
2.
3.
4.
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