Q. No.A block of ice floats in water, in a beaker at \(0\)°C, nearly. The ice melts slowly until the beaker is full of water. As a result, the pressure at the bottom:
1. increases slowly.
2. decreases slowly.
3. first increases and then decreases.
4. remains constant.
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| 1. | \(\dfrac{4 F h}{A \rho g}\) | 2. | \(\dfrac{2 F h}{A \rho g}\) |
| 3. | \(\dfrac{F h}{A \rho g}\) | 4. | \(\dfrac{F h}{2 A \rho g}\) |
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| 1. | rise. |
| 2. | sink. |
| 3. | float in the same position. |
| 4. | either rise or sink depending on the air pressure. |
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| 1. |  |
2. |  |
| 3. |  |
4. |  |
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Assume that the flow is smooth. The variation of \(v\) vs \(r\) is best given by the graph:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
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1. \(\dfrac{F}{A}(A_1+A_2)\) to right.
2. \(\dfrac{F}{A}(A_1+A_2)\) to left.
3. \(\dfrac{F}{A}(A_2-A_1)\) to right.
4. \(\dfrac{F}{A}(A_2-A_1)\) to left.
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| 1. | \(\dfrac{R}{6t}\) | 2. | \(\dfrac{R}{3t}\) |
| 3. | \(\dfrac{6t}{R}\) | 4. | \(\dfrac{3t}{R}\) |
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1. \(P_A=P_B\)
2. \(P_A-P_B=L\rho a\)
3. \(P_B-P_A=L\rho a\)
4. \(P_A-P_B=L\rho \sqrt{a^2+g^2}\)
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1. \(\rho Av^2\)
2. \(2\rho Av^2\)
3. \(\sqrt2\rho Av^2\)
4. \(\rho v^2\pi R^2\)
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| 1. | \(\dfrac{m}{\rho}\) | 2. | \(\dfrac{2m}{\rho}\) |
| 3. | \(\dfrac{m}{2\rho}\) | 4. | \(\dfrac{3m}{2\rho}\) |
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