Water flows through a frictionless duct with a cross-section varying as shown in the figure. Pressure p at points along the axis is represented by:
         

1. 2.
3. 4.

Subtopic:  Equation of Continuity |
 68%
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Equation of continuity is based on:

1. Conservation of mass
2. Conservation of energy
3. Conservation of angular momentum
4. None of these

Subtopic:  Equation of Continuity |
 69%
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An inverted bell lying at the bottom of a lake 47.6 m deep has 50 cm3 of air trapped in it. The bell is brought to the surface of the lake. The volume of the trapped air will be: (atmospheric pressure = 70 cm of Hg and density of Hg = 13.6 g/cm3

1. 350 cm3                               

2. 300 cm3

3. 250 cm3                               

4. 22 cm3

Subtopic:  Pressure |
 57%
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A siphon in use is demonstrated in the following figure. The density of the liquid flowing in the siphon is 1.5 gm/cc. The pressure difference between the point P and S will be:
            

1. 105  N / m 2. 2 × 105  N / m
3. Zero 4. Infinity
Subtopic:  Pressure |
 66%
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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 |
 64%
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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 |
 69%
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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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 A body is just floating on the surface of a liquid. The density of the body is the same as that of the liquid. The body is slightly pushed down. What will happen to the body?

1. It will slowly come back to its earlier position
2. It will remain submerged, where it was left
3. It will sink
4. It will come out violently

Subtopic:  Archimedes' Principle |
 58%
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If two pieces of metal when immersed in a liquid have equal upthrust on them, then:

1. Both pieces must have equal weights
2. Both pieces must have equal densities
3. Both pieces must have equal volumes
4. Both are floating in the same depth

Subtopic:  Archimedes' Principle |
 58%
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The following figure shows the flow of liquid through a horizontal pipe. Three tubes \(A,\) \(B\) and \(C\) are connected to the pipe. The radii of the tubes \(A,\) \(B\) and \(C\) at the junction are respectively \(2~\text{cm},1~\text{cm}\) and \(2~\text{cm}.\) It can be said that:

              

1. the height of the liquid in the tube \(A\) is maximum.
2. the height of the liquid in the tubes \(A\) and \(B\) is the same.
3. the height of the liquid in all three tubes is the same.
4. the height of the liquid in the tubes \(A\) and \(C\) is the same.

Subtopic:  Bernoulli's Theorem |
 77%
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