Equal masses of water and a liquid of relative density 2 are mixed together, then the mixture has a density of
(1) 2/3                                 

(2) 4/3

(3) 3/2                                 

(4) 3

Subtopic:  Properties of Fluids |
 66%
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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 |
 51%
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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 |
 57%
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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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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 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%
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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%
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The density ρ of water of bulk modulus B at a depth y in the ocean is related to the density at surface ρ0 by the relation

(1) ρ=ρ01-ρ0gyB                           

(2) ρ=ρ01+ρ0gyB

(3) ρ=ρ01+Bρ0gy                             

(4) ρ=ρ01-Bρ0gy

Subtopic:  Properties of Fluids |
 52%
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With rise in temperature, density of a given body changes according to one of the following relations

(a) ρ=ρ01+γ                         (b) ρ=ρ01-γ 

(c) ρ=ρ0γ                                 (d) ρ=ρ0/γ 

Subtopic:  Properties of Fluids |
 67%
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