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

Subtopic:  Pressure |
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A tank full of water is placed in an elevator. The elevator accelerates upward. The water pressure at the bottom of the tank:
1. decreases
2. increases
3. remains unchanged
4. first increases and then decreases
Subtopic:  Pressure |
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Two copper vessels \(A\) and \(B\) have the same base area but are of different shapes. \(A\) takes twice the volume of water that \(B\) requires to fill up to a particular common height. Then the correct statement among the following is:
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 \(A\).
Subtopic:  Pressure |
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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. \(15.0~\text{m}\)

Subtopic:  Pressure |
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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

Subtopic:  Pressure |
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A small sphere of density \(\rho\) is completely submerged in a liquid of density \(3\rho\) and released. The magnitude of its acceleration just after release equals:
1. \(g\)
2. \(\frac g3\)
3. \(2g\)
4. \(3g\)
Subtopic:  Archimedes' Principle |
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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)

Subtopic:  Archimedes' Principle |
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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. \([1+(n+1)r ]\rho\)

Subtopic:  Archimedes' Principle |
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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)
Subtopic:  Types of Flows |
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Which of the following diagrams does not represent a streamline flow?

1. 2.
3.   4.  
Subtopic:  Types of Flows |
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