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. | \(A\) | maximum in vessel
2. | \(B\) | maximum in vessel
3. | \(C\) | maximum in vessel
4. | equal in all the vessels |
1. | decreases |
2. | increases |
3. | remains unchanged |
4. | first increases and then decreases |
1. | \(A\) and \(B\) is same. | pressure on the base area of vessels
2. | \(A\) and \(B\) is not same. | pressure on the base area of vessels
3. | \(A\) and \(B\) weigh the same. | both vessels
4. | \(B\) weighs twice that of \(A\). | vessel
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. |