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Q. No.Equal mass of three liquids are kept in three identical cylindrical vessels \(A\), \(B\) and \(C\). The densities are \(\rho_A,~\rho_B,~\rho_C\) with \(\rho_A<\rho_B<\rho_C\) . The force on the base will be:
| 1. | maximum in vessel \(A\) |
| 2. | maximum in vessel \(B\) |
| 3. | maximum in vessel \(C\) |
| 4. | equal in all the vessels |
| 1. | decreases |
| 2. | increases |
| 3. | remains unchanged |
| 4. | first increases and then decreases |
1. pressure on the base area of vessels \(A\) and \(B\) is same.
2. pressure on the base area of vessels \(A\) and \(B\) is not same.
3. both vessels \(A\) and \(B\) weigh the same.
4. vessel \(B\) weighs twice that of \(A\).
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. \(15.0~\text{m}\)
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
| Statement I: | The pressure at the bottom of a vessel containing water is proportional to the height of the water. |
| Statement II: | When water begins to flow out of a small hole in a tank (after the hole is opened), the pressure of water inside the tank near the hole decreases. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
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