Force and Pressure Test

Result

Force and Pressure Test - 1

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Question 1
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The density of air is 1.3 kg/m³. What mass of air is contained in a room measuring 2.5 m x 4 m x 10 m?

A
100 kg

B
130 kg

C
160 kg

D
180 kg

Solution

Density = Mass / Volume
Mass = Density × Volume
Here Volume , V = 2.5 × 4 × 10
M = 1.3 x (2.5 x 4 x 10) = 130 kg
Question 2
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Two vessels A and B have the same base area and contain water up to the same height, but the mass of water in vessel A is four times that of water in vessel B. The ratio of pressure on the base of vessel A to that on the base of vessel B is

A
4 : 1

B
2 : 1

C
1 : 1

D
16 : 1

Solution

Pressure due to liquid column is given by:

P = ρgh, where h is the height and ρ is the density of the liquid.

Hence, pressure depends only of the height of the liquid column and is independent of the shape of the vessel and the mass of the liquid.

So, pressure on the base of both the vessels (A and B) is the same. So, the required ratio is 1 : 1.
Question 3
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In which of the following cases will the increase in pressure be the greatest?

A
When the force acting is increased and the area is also increased.

B
When the force acting is increased but the area is decreased.

C
When the force acting is decreased and the area is also decreased.

D
When the force acting is decreased but the area is increased.

Solution

Pressure = Force / Area
So, when the force acting is increased but the area is decreased, pressure will increase.
Question 4
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Read the following statements and choose the correct option.

Statement A: At the mountains, the water boils at a temperature less than 100°C.
Statement B: At the top of mountains, the atmospheric pressure is less than pressure at sea-level.

A
Both statements A and B are correct and B is the correct explanation of A.

B
Both statements A and B are correct, but B is not the correct explanation of A.

C
Statement A is incorrect, but statement B is correct.

D
Both statements A and B are incorrect.

Solution

Both statements A and B are correct and B is the correct explanation of A.

Boiling point is the temperature at which the vapour pressure becomes equal to the atmospheric pressure. At mountains the atmospheric pressure is less, so the boiling point of the water is less than 100^oC.
Question 5
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Choose the correct statements from the following.

(A) Blood pressure is minimum at our feet and maximum at our head.
(B) It is easier for a camel to move on the sand because its feet have a large area.
(C) The pressure along a horizontal line in a vessel filled with water is the same.

A
Only (A) and (B)

B
Only (A) and (C)

C
Only (B) and (C)

D
All of them are correct.

Solution

Blood pressure is maximum at our feet and minimum at our head.

It is easier for a camel to move on the sand because its feet have a large area and exert less pressure due to which they do not sink in the sand.

The pressure along a horizontal line in a vessel at rest, filled with water is the same.