An airplane of a total wing area of \(120~\text{m}^2\) is in a level flight at some height. If the pressure difference between the upper and lower surface is \(2.5~\text{kPa},\) then the mass of the airplane is:
(Take \(g=10~\text{ms}^{-2}\))

1. \(2\times10^3~\text{kg}\)
2. \(3\times10^4~\text{kg}\)
3. \(5\times10^4~\text{kg}\)
4. \(7\times10^4~\text{kg}\)

Subtopic:  Pressure |
 84%
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A liquid is poured into three vessels of the same base area and equal heights as shown in the figure, then:
                          

1. The maximum force on the base will be for the vessel \(C.\)
2. The maximum force on the base will be for the vessel \(B.\)
3. The maximum force on the base will be for the vessel \(A.\)
4. Force on the base will be equal for all the vessels.

Subtopic:  Pressure |
 83%
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The area of cross-section of the wider tube shown in the figure is \(800~\text{cm}^2.\) If a mass of \(12~\text{kg}\) is placed on the massless piston, then the difference in heights \(h\) of the levels of water in the two tubes will be:

                 

1. \(10~\text{cm}\) 2. \(6~\text{cm}\)
3. \(15~\text{cm}\) 4. \(2~\text{cm}\)
Subtopic:  Pressure |
 68%
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The value of g at a place decreases by 2%. Then, the barometric height of mercury:

1. increases by 2%. 2. decreases by 2%.
3. remains unchanged. 4. sometimes increases and sometimes decreases.
Subtopic:  Pressure |
 68%
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The height of a mercury barometer is \(75 ~\text{cm}\) at sea level and \(50 ~\text{cm}\) at the top of a hill. The ratio of the density of mercury to that of air is \(10^4.\) The height of the hill is:

1. \(250 ~\text m\) 2. \(2.5 ~\text {km}\)
3. \(1.25 ~\text {km}\) 4. \(750 ~\text m\)
Subtopic:  Pressure |
 63%
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A vertical \(\mathrm{U}\)-tube of uniform inner cross-section contains mercury in both its arms. A glycerin (density\(=1.3\) g/cm3) column of length \(10\) cm is introduced into one of its arms. Oil of density \(0.8\) g/cm is poured into the other arm until the upper surfaces of the oil and glycerin are at the same horizontal level. The length of the oil column is:
(density of mercury \(=13.6\) g/cm3)
                       
1. \(10.4\) cm
2. \(8.2\) cm
3. \(7.2\) cm
4. \(9.6\) cm

Subtopic:  Pressure |
 64%
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A barometer kept in a stationary elevator reads \(76 ~\text{cm}.\) If the elevator starts accelerating up, the reading will be:
1. zero
2. equal to \(76 ~\text{cm}\)
3. more than \(76 ~\text{cm}\)
4. less than \(76 ~\text{cm}\)

Subtopic:  Pressure |
 65%
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There are four cylindrical vessels identical in dimensions. If these are filled with equal masses of four different liquids P, Q, R, and S such that their densities are ρp > ρQ > ρR > ρS, then pressure at the base of vessel will be: 

1. Pp = PQ = PR = PS 2. Pp > PQ > PR > PS
3. Pp < PQ < PR < PS 4. Data is insufficient to predict the relation
Subtopic:  Pressure |
 59%
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Which of the following diagrams does not represent a streamline flow?

1. 2.
3.   4.  
Subtopic:  Types of Flows |
 89%
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Three liquids of densities \(d,\) \(2d\) and \(3d\) are mixed in equal proportions of weights. The relative density of the mixture is: 

1. \(11d \over 7\) 2. \(18d \over 11\)
3. \(13d \over 9\) 4. \(23d \over 18\)
Subtopic:  Properties of Fluids |
 75%
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