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. | \(A\) and \(B\) is the same. | pressure on the base area of vessels
2. | \(A\) and \(B\) is not the 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
A wooden block with a coin placed on its top, floats in water as shown in the figure.
The distances \(l\) and \(h\) are shown in the figure. After some time, the coin falls
into the water. Then,
(a) | \(l\) decreases |
(b) | \(h\) decreases |
(c) | \(l\) increases |
(d) | \(h \) 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. |