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. | 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
A wooden block with a coin placed on its top, floats in water as shown in the figure.
The distances \(\mathrm{l}\) and \(\mathrm{h}\) are shown in the figure. After some time, the coin falls
into the water. Then,
(a) | \(\mathrm{l}\) decreases |
(b) | \(\mathrm{h}\) decreases |
(c) | \(\mathrm{l}\) increases |
(d) | \(\mathrm{h}\) increases |
Choose the correct alterative/s:
1. | (b), (c) |
2. | (a), (d) |
3. | (c), (d) |
4. | (a), (b) |
Two non-mixing liquids of densities \(\rho\) and \(n\rho\) \((n>1)\) are put in a container. The height of each liquid is \(h.\) A solid cylinder of length \(L\) and density \(d\) is put in this container. The cylinder floats with its axis vertical and length \(rL~(r<1))\) in the denser liquid. The density \(d\) is equal to:
1. \([2+(n+1)r ]\rho\)
2. \([2+(n-1)r] \rho\)
3. \([1+(n-1)r] \rho\)
4. \([1+(n+1)r ]\rho\)
Streamline flow is more likely for liquids with,
(a) | high density. |
(b) | high viscosity. |
(c) | low density. |
(d) | low viscosity. |
Choose the correct option:
1. (a), (b)
2. (c), (d)
3. (b), (c)
4. (a), (d)
Which of the following diagrams does not represent a streamline flow?
1. | 2. | ||
3. | 4. |