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%
From NCERT
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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%
From NCERT
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For the figures given below, the correct observation is:
              

1. pressure at the bottom of the tank (a) is greater than at the bottom of the tank (b).
2. pressure at the bottom of the tank (a) is lesser than at the bottom of (b).
3. pressure depends upon the shape of the container.
4. pressure at the bottom of (a) and (b) are the same.
Subtopic:  Pressure |
 84%
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A given shaped glass tube having uniform cross section is filled with water and is mounted on a rotatable shaft as shown in figure. If the tube is rotated with a constant angular velocity ω then


(1) Water levels in both sections A and B go up

(2) Water level in Section A goes up and that in B comes down

(3) Water level in Section A comes down and that in B it goes up

(4) Water levels remains same in both sections

Subtopic:  Pressure |
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An iceberg of density 900 kg/m3 is floating in water of density 1000 Kg/m3. The percentage of volume of ice-cube outside the water is: 
1. 20%                                       
2. 35%
3. 10%                                       
4. 25%

Subtopic:  Archimedes' Principle |
 87%
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A log of wood of mass 120 Kg floats in water. The weight that can be put on the raft to make it just sink, should be (density of wood = 600 Kg/m3
(1) 80 Kg                                                 

(2) 50 Kg

(3) 60 Kg                                                 

(4) 30 Kg

Subtopic:  Archimedes' Principle |
 62%
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A hemispherical bowl just floats without sinking in a liquid of density 1.2×103 kg/m3. If the outer diameter and the density of the material of the bowl are 1 m and 2×104 kg/m3 respectively, then the inner diameter of the bowl will be:
1. 0.94 m
2. 0.97 m
3. 0.98 m
4. 0.99 m

Subtopic:  Archimedes' Principle |
From NCERT
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In making an alloy, a substance of specific gravity s1 and mass m1 is mixed with another substance of specific gravity s2 and mass m2 ; then the specific gravity of the alloy is

1. m1+m2s1+s2     
               
2. s1s2m1+m2

3. m1+m2m1s1+m2s2 
               
4. m1s1+m2s2m1+m2

Subtopic:  Properties of Fluids |
 76%
From NCERT
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A concrete sphere of radius R has a cavity of radius r which is packed with sawdust. The specific gravities of concrete and sawdust are respectively 2.4 and 0.3. For this sphere to float with its entire volume submerged underwater, the ratio of mass of concrete to mass of sawdust will be:
1. 8 
2. 4
3. 3                                       
4. Zero

Subtopic:  Archimedes' Principle |
From NCERT
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