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%
Level 2: 60%+
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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. \(\dfrac{2}{3}\)

2. \(\dfrac{4}{3}\)

3. \(\dfrac{3}{2}\)

4. \(3\)

Subtopic:  Properties of Fluids |
 67%
Level 2: 60%+
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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 |
 50%
Level 3: 35%-60%
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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%
Level 2: 60%+
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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 |
 58%
Level 3: 35%-60%
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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 |
 69%
Level 2: 60%+
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A beaker containing a liquid is kept inside a big closed jar. If the air inside the jar is continuously pumped out, the pressure in the liquid near the bottom of the beaker will
1. Increase
2. Decrease
3. Remain constant
4. First decrease and then increase

Subtopic:  Pressure |
 63%
Level 2: 60%+
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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 |
 65%
Level 2: 60%+
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A triangular lamina of area A and height h is immersed in a liquid of density ρ in a vertical plane with its base on the surface of the liquid. The thrust on the lamina is:
1. 12Aρgh                 

2. 13Aρgh

3. 16Aρgh                 

4. 23Aρgh

Subtopic:  Pressure |
 52%
Level 3: 35%-60%
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If two liquids of same masses but densities ρ1 and ρ2 respectively are mixed, then density of mixture is given by

1. ρ=ρ1+ρ22                             

2. ρ=ρ1+ρ22ρ1ρ2

3. ρ=2ρ1ρ2ρ1+ρ2                             

4. ρ=ρ1ρ2ρ1+ρ2

Subtopic:  Properties of Fluids |
 81%
Level 1: 80%+
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