UNIT 7:

Properties of Matter...
Numerical Problems...

Numerical No: 7.1,7.2,7.3,7.4,7.5,7.6,7.7,7.8,7.9,7.10,7.11,7.12

NUMERICAL NO: 7.1

• A wooden block measuring 40cm x 10cm x 5cm has a mass 850g. Find the density of wood.

SOLUTION...

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NUMERICAL NO: 7.2

How much would be the volume of ice formed by freezing 1 litter of water.

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NUMERICAL NO: 7.3

Calculate the volume of the following objects:

• An iron sphere of mass 5kg, the density of iron is 8200 kgm^-3
• 200g of lead shot having density 11300 kgm^-3
• A gold bar of mass 0.2kg. The density of gold is 19300 kgm^-3

SOLUTION...

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NUMERICAL NO: 7.4

The density of air is 1.5 kgm^-3. Find the mass of air in a room measuring 8m x 5m x 4m.

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NUMERICAL NO: 7.5

A student presses her palm by her thumb with a force of 75 N. How much would be the pressure under her thumb having contact area 1.5 cm^2?

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NUMERICAL NO: 7.6

The head of a pin is a square of side 10mm. Find the pressure on it due to a force of 20 N.

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NUMERICAL NO: 7.7

A uniform rectangular block of wood 20cm x 7.5cm x 7.5cm and of mass 1000g stands on a horizontal surface with its longest edge vertical. Find;

• The pressure exerted by the block on the surface
• density of the wood

SOLUTION...

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NUMERICAL NO: 7.8

A cube of glass of 5cm side and mass 306 g, has a cavity inside it. If the density of glass is 2.55 gcm^-3, Find the volume of the cavity.

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NUMERICAL NO: 7.9

An object has weight 18 N in air. Its weight is found to be 11.4 N when immersed in water. Calculate its density. Can you guess the material of the object?

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NUMERICAL NO: 7.10

A solid block of wood of density 0.6 gcm^-3 weights 3.06 N in air, Determine

• Volume of the block
• The volume of the block immersed when placed freely in a liquid of density 0.9 gcm^-3


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NUMERICAL NO: 7.11



• The diameter of a piston of a hydraulic press is 30cm. How much force is required to lift a car weighting 20,000 N on its piston if the diameter of the piston is 3cm?

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NUMERICAL NO: 7.12



• A steel wire of cross-sectional area 2 x 10^-5 m² is stretched through 2 mm by a force of 4000 N. Find the Young’s modulus of the wire. The length of the wire is 2m.

SOLUTION...
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