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 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 gm/cm3 is poured into the other arm until the upper surfaces of the oil and glycerin are at the same horizontal level. Find the length of the oil column. [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 |
 63%
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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%
From NCERT
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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%
From NCERT
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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%
From NCERT
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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%
From NCERT
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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%
From NCERT
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