Q. No.A cubical block of wood of mass \(m\) floats in water, with \(\Large\frac23\) of the wood immersed underwater. The area of a face of the wooden block is \(A.\) The pressure of water acting on the lowest face is:
| 1. | \(\Large\frac{mg}{A}\) | 2. | \(\Large\frac{2}{3}\frac{mg}{A}\) |
| 3. | \(\Large\frac{1}{3}\frac{mg}{A}\) | 4. | \(\Large\frac{3}{2}\frac{mg}{A}\) |
Subtopic: Pressure |
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A wedge shaped vessel holds water. As one moves downward along \(OB\) or \(AB\) pressure changes. The increase in pressure per unit distance traversed,
| 1. | is more along \(AB\) compared to \(OB\) |
| 2. | is more along \(OB\) compared to \(AB\) |
| 3. | is the same along \(AB\) or \(OB\) |
| 4. | is zero along \(AB,\) but non-zero along \(OB\) |
Subtopic: Pressure |
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A submarine having a fixed volume is floating submerged underwater. Air, at high pressure, is pumped into the submarine using pipes. Due to this, the submarine will:
| 1. | rise. |
| 2. | sink. |
| 3. | float in the same position. |
| 4. | either rise or sink depending on the air pressure. |
Subtopic: Pressure |
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A small tube containing air at atmospheric pressure (\(P=76\) cm of Hg) has a mercury column of the length of \(19\) cm. The tube is initially horizontal, then it is turned so that the open end is upward and the tube is vertical.
The length of the trapped air column:
| 1. | increases by \(10\) cm. |
| 2. | decrease by \(10\) cm. |
| 3. | increases by \(8\) cm. |
| 4. | decreases by \(8\) cm. |
Subtopic: Pressure |
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A large vessel of liquid of density \(\rho\) is contained in a tank. The tank is pulled towards the right with a constant acceleration \(a.\) The upper level of the liquid is not shown in the diagram. Then, the pressures at \(A\) and \(B\) are related by:
1. \(P_A=P_B\)
2. \(P_A-P_B=L\rho a\)
3. \(P_B-P_A=L\rho a\)
4. \(P_A-P_B=L\rho \sqrt{a^2+g^2}\)
1. \(P_A=P_B\)
2. \(P_A-P_B=L\rho a\)
3. \(P_B-P_A=L\rho a\)
4. \(P_A-P_B=L\rho \sqrt{a^2+g^2}\)
Subtopic: Pressure |
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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.
1. increases slowly.
2. decreases slowly.
3. first increases and then decreases.
4. remains constant.
Subtopic: Pressure |
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A tank of uniform cross-section is filled with water. The pressure at the bottom of the tank is \( P_0,\) and the volume of water is \(V_0.\) Ignore atmospheric pressure. The potential energy of the water in the tank (taking the base as the reference) is:
| 1. | \( P_0V_0\) | 2. | \(2 P_0V_0\) |
| 3. | \({\Large\frac{ P_0V_0}2}\) | 4. | \({\Large\frac{ P_0V_0}4}\) |
Subtopic: Pressure |
50%
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A liquid fills a thin centrifuge tube while it is rotated about a vertical axis at a high angular speed. The pressures at the left edge, middle and right edge of the liquid are \(P_1,P_2,P_3\) respectively. Then:
| 1. | \(P_1=P_2=P_3\) | 2. | \(P_1>P_2>P_3\) |
| 3. | \(P_1<P_2<P_3\) | 4. | \(P_2<P_1=P_3\) |
Subtopic: Pressure |
57%
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The arrangement shows two pistons \(P_1,P_2\) with a rigid connecting rod \(C\) so that they can slide together with respect to the two fixed cylinders of cross-sectional areas \(A_1,A_2\) respectively. The two cylinders are connected by means of two pipes to a small cylinder (of area \(A\)) with a piston at the bottom on which is applied a force \(F.\) The interior of the pipes and cylinder is filled with an incompressible oil. Ignore any pressure variations due to gravity. The net force on the two pistons \(P_1, P_2\) is:
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.
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.
Subtopic: Pressure |
53%
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Consider a tank full of water with an outlet at the bottom. As the outlet valve is opened, and water flows out, the pressure inside the tank near the outlet:
| 1. | increases. |
| 2. | decreases. |
| 3. | remains unchanged. |
| 4. | increases and then quickly returns to normal. |
Subtopic: Pressure |
58%
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