Q. No.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
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
| 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. |
(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. \(7\times10^4~\text{kg}\)
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. | decreases |
| 2. | increases |
| 3. | remains unchanged |
| 4. | first increases and then decreases |
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. |
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
Toricelli’s barometer used mercury. Pascal duplicated it using French wine of density \(984~\text{kg/m}^3.\) The height of the wine column for normal atmospheric pressure is:
1. \(11.5~\text{m}\)
2. \(10.5~\text{m}\)
3. \(9.00~\text{m}\)
4. \(15.0~\text{m}\)
| 1. | pressure on the base area of vessels \(A\) and \(B\) is the same. |
| 2. | pressure on the base area of vessels \(A\) and \(B\) is not the same. |
| 3. | both vessels \(A\) and \(B\) weigh the same. |
| 4. | vessel \(B\) weighs twice that of \(A\). |
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