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Q. No.A boat carrying a number of large stones is floating in a water tank. What will happen to the water level if the stones are unloaded into the water?
| 1. | the water level remains unchanged. |
| 2. | the water level falls. |
| 3. | the water level rises. |
| 4. | the water level rises till half the number of stones are unloaded and then begins to fall. |
Subtopic: Properties of Fluids |
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A man of mass \(75\) kg lies on a bed of \(10000\) nails. The tip of each nail has an area of \(1.0\) square millimetres. What pressure does the man experience? (Take \(g=10\) N/kg)
1. pa
2. Pa
3. Pa
4. Pa
Subtopic: Pressure |
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A hydraulic automobile lift is designed to lift cars with a maximum mass of \(3000\) kg. The area of the cross-section of the piston carrying the load is \(425\) cm2. What maximum pressure would the smaller piston have to bear?
1. \(3.12\times10^{5}\) Pa
2. \(1.01\times10^{5}\) Pa
3. \(2.94\times10^{5}\) Pa
4. \(6.92\times10^{5}\) Pa
Subtopic: Pressure |
79%
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Two substances of relative densities \(\rho_{1}\) and \(\rho_{2}\) are mixed in equal volume and relative density of mixture is \(4.\) When they are mixed in equal masses, the relative density of mixture is \(3.\) The values of \(\rho_{1}\) and \(\rho_{2}\) are:
| 1. | \(\rho_{1}=6\) and \(\rho_{2}=2\) | 2. | \(\rho_{1}=3\) and \(\rho_{2}=5\) |
| 3. | \(\rho_{1}=12\) and \(\rho_{2}=4\) | 4. | none of these |
Subtopic: Properties of Fluids |
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Which of the following statements is not true?
| 1. | The coefficient of viscosity is a scalar quantity. |
| 2. | Surface tension is a scalar quantity. |
| 3. | Pressure is a vector quantity. |
| 4. | Relative density is a scalar quantity. |
Subtopic: Pressure |
69%
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An airplane of a total wing area of \(120~\text{m}^2\) is in a level flight at some height. If the pressure difference between the upper and lower surface is \(2.5~\text{kPa},\) then the mass of the airplane is:
(Take \(g=10~\text{ms}^{-2}\))
1. \(2\times10^3~\text{kg}\)
2. \(3\times10^4~\text{kg}\)
3. \(5\times10^4~\text{kg}\)
4. \(7\times10^4~\text{kg}\)
(Take \(g=10~\text{ms}^{-2}\))
1. \(2\times10^3~\text{kg}\)
2. \(3\times10^4~\text{kg}\)
3. \(5\times10^4~\text{kg}\)
4. \(7\times10^4~\text{kg}\)
Subtopic: Pressure |
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A \(50~\text{kg}\) girl wearing high heel shoes balances on a single heel. The heel is circular with a diameter of \(1.0~\text{cm}\). What is the pressure exerted by the heel on the horizontal floor:
1. \( 6.24 \times 10^6 ~\text{Nm}^{-2} \)
2. \( 4.21 \times 10^5 ~\text{Nm}^{-2} \)
3. \( 20 \times 10^6 ~\text{Nm}^{-2}\)
4. \( 1.01 \times 10^5~\text{Nm}^{-2}\)
1. \( 6.24 \times 10^6 ~\text{Nm}^{-2} \)
2. \( 4.21 \times 10^5 ~\text{Nm}^{-2} \)
3. \( 20 \times 10^6 ~\text{Nm}^{-2}\)
4. \( 1.01 \times 10^5~\text{Nm}^{-2}\)
Subtopic: Pressure |
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A tank full of water is placed in an elevator. The elevator accelerates upward. The water pressure at the bottom of the tank:
| 1. | decreases |
| 2. | increases |
| 3. | remains unchanged |
| 4. | first increases and then decreases |
Subtopic: Pressure |
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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 |
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The two thigh bones (femurs), each of cross-sectional area \(10\) cm2 support the upper part of a human body of mass \(40\) kg. The average pressure sustained by the femurs is:
1. \(0.2\times 10^{5}\) Nm–2
2. \(2\times10^{5}\) Nm–2
3. \(20\times10^{5}\) Nm–2
4. \(20\times10^{6}\) Nm–2
Subtopic: Pressure |
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