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Q. No.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 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 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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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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We sit in the room with the windows open. Then:
| 1. | the air pressure on the floor of the room equals the atmospheric pressure but the air pressure on the ceiling is negligible. |
| 2. | the air pressure is nearly the same on the floor, the walls, and the ceiling. |
| 3. | the air pressure on the floor equals the weight of the air column inside the room (from floor to ceiling) per unit area. |
| 4. | the air pressure on the walls is zero since the weight of air acts downward. |
Subtopic: Pressure |
54%
From NCERT
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A liquid of density \(\rho\) flows through a bent tube of cross-section \(A,\) with a speed \(v.\) The liquid enters at point \(A\) and exits at \(B\) in the opposite direction. The radius of the bend is \(R.\) The tube lies on a horizontal table. The force required to hold the tube equals:
1. \(\rho Av^2\)
2. \(2\rho Av^2\)
3. \(\sqrt2\rho Av^2\)
4. \(\rho v^2\pi R^2\)
1. \(\rho Av^2\)
2. \(2\rho Av^2\)
3. \(\sqrt2\rho Av^2\)
4. \(\rho v^2\pi R^2\)
Subtopic: Pressure |
58%
From NCERT
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