An engine pumps water continuously through a hose. Water leaves the hose with a velocity v and m is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?

1. 12mv3                                   

2. mv3

3. 12mv2                                   

4. 12m2v2

Subtopic:  Bernoulli's Theorem |
 67%
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Two bodies are in equilibrium when suspended in water from the arms of a balance. The mass of one body is 36 g and its density is 9 g/cm3. If the mass of the other is 48 g, its density in (g/cm3) will be:
1. 43
2. 32
3. 3
4. 5

Subtopic:  Archimedes' Principle |
 50%
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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 |
 58%
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A siphon in use is demonstrated in the following figure. The density of the liquid flowing in 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 |
 65%
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The height of a mercury barometer is 75 cm at sea level and 50 cm at the top of a hill. Ratio of density of mercury to that of air is 104. The height of the hill is
1. 250 m                             

2. 2.5 km

3. 1.25 km                           

4. 750 m

Subtopic:  Pressure |
 66%
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Equal masses of water and a liquid of relative density 2 are mixed together, then the mixture has a density of:
1. 23

2. 43

3. 32

4. 3

Subtopic:  Properties of Fluids |
 67%
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A body of density d1 is counterpoised by Mg of weights of density d2 in air of density d. Then the true mass of the body is

1. M                                   

2. M1-dd2

3. M1-dd1                       

4. M(1-d/d2)(1-d/d1)

Subtopic:  Archimedes' Principle |
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The value of g at a place decreases by 2%. The barometric height of mercury
1. Increases by 2%

2. Decreases by 2%

3. Remains unchanged

4. Sometimes increases and sometimes decreases
 

Subtopic:  Pressure |
 67%
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A barometer kept in a stationary elevator reads 76 cm. If the elevator starts accelerating up, the reading will be:
1. Zero
2. Equal to 76 cm
3. More than 76 cm
4. Less than 76 cm

Subtopic:  Pressure |
 58%
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A closed rectangular tank is completely filled with water and is accelerated horizontally with an acceleration a towards right. Pressure is (i) maximum at, and (ii) minimum at

1. (i) B (ii) D

2. (i) C (ii) D

3. (i) B (ii) C

4. (i) B (ii) A

Subtopic:  Pressure |
 68%
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