Fluids And Pressure Test

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Fluids And Pressure Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

When a body is fully or partially immersed in a liquid, it appears to lose weight. This loss of weight is equal to the weight of

A
water displaced by the body

B
liquid displaced by the body

C
equal volume of water

D
equal volume of liquid

Solution

The loss in weight of a body when it is partially or fully immersed in water is equal to the volume of the liquid displaced by the body. This is called Archimedes' principle.
Question 2
1 / -0

When a body is weighed in a liquid, the loss in its weight depends upon

A
volume of the body

B
mass of the body

C
shape of the body

D
centre of gravity of the body

Solution

From the Archimedes principle, the loss in weight of a body when it is partially or fully immersed in a liquid depends on the volume of liquid displaced by it. Now, the volume of liquid displaced is same as the volume of body which is fully or partially immersed in the liquid.
Question 3
1 / -0

Which of the following would a hydrogen balloon find easier to lift?

A
1 kg of water

B
1 kg of steel

C
1 kg of light packed feather

D
All of the above

Solution

1 kg of light packed feather would a hydrogen balloon find easier to lift.
Question 4
1 / -0

A cork of density 250 kgm^-3 floats in a liquid with one-third of its volume below the surface of the liquid. Find the density of the liquid.

A
700 kgm^-3

B
720 kgm^-3

C
750 kgm^-3

D
800 kgm^-3

Solution

Buoyancy = Weight of cork

Symbols with 1 represent properties of fluid, while those with 2 represent properties of cork.
Buoyancy = Volume of immersed body x Density of fluid x g

= V x ρ_₁ x g ............ eq 1
V = Volume of cork immersed

Weight of cork = m_₂ x g = ρ_₂ x V_₂ x g ............ eq 2
V x ρ_₁ x g = ρ_₂ x V_₂ x g

V x ρ_₁ = ρ_₂ x V_₂
V = ⅓ V_₂

⅓V_₂ x ρ_₁ = ρ_₂ x V_₂
⅓ x ρ_₁= ρ_₂

ρ_₁ = 3 x ρ_₂
= 3 x 250 kg/m^³

= 750 kg/m^³
Question 5
1 / -0

When a piece of ice melts in water, the level of water

A
rises

B
falls

C
remains the same

D
first rises, then falls

Solution

When a piece of ice melts in water the level of water remains the same. This is because the water displaced by the ice is same as the mass of the ice.
Question 6
1 / -0

A man is sitting in a boat, which is floating in a pond. If the man drinks some water from the pond, the level of water in the pond will

A
rise a little

B
sink a little

C
remain stationary

D
none of the above

Solution

The level of water in the pond will remain the same.

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Fluids And Pressure Test - 3

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Fluids And Pressure Test - 3

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Question 1

water displaced by the body

liquid displaced by the body

equal volume of water

equal volume of liquid

Solution

Question 2

volume of the body

mass of the body

shape of the body

centre of gravity of the body

Solution

Question 3

1 kg of water

1 kg of steel

1 kg of light packed feather

All of the above

Solution

Question 4

700 kgm-3

720 kgm-3

750 kgm-3

800 kgm-3

Solution

Question 5

rises

falls

remains the same

first rises, then falls

Solution

Question 6

rise a little

sink a little

remain stationary

none of the above

Solution

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700 kgm^-3

720 kgm^-3

750 kgm^-3

800 kgm^-3