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Two thin rods of length $l_{1}$ and $l_{2}$ at a certain temperature are joined to each other end to end. The composite rod is then heated through a temperature $θ$ . The coefficients of linear expansion of the two rods are $α_{1}$ and $α_{2}$ respectively. Then, the effective coefficient of linear expansion of the composite rod is:

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Important Questions on Thermal Properties of Matter

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Alpha Question Bank for Engineering: Physics>Chapter 15 - Thermal Properties of Matter>Exercise - 2>Q 17

Earth receives

1400 W m^{- 2}

of solar power. If all the solar energy falling on a lens of area

0.2 m^{2}

is focused on a block of ice of mass

280

grams, the time taken to melt the ice will be

x \times 10 s

. Find the value of

x

(Latent heat of fusion of ice

3.3 \times 10^{5} J {kg}^{- 1}

)

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Alpha Question Bank for Engineering: Physics>Chapter 15 - Thermal Properties of Matter>Exercise - 2>Q 18

50 gm

lead bullet, specific heat

0.02 cal g^{- 1}

is initially at

30 ° C

. It is fired vertically upwards with a speed of

840 m s^{- 1}

and on returning to the starting level strikes a cake of ice at

0 ° C

. How much ice is melted. Assume that all energy is spent in melting only. [Latent heat of ice

= 80 cal {gm}^{- 1}

]. Write the answer (in

grams

) to the nearest integer.

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Alpha Question Bank for Engineering: Physics>Chapter 15 - Thermal Properties of Matter>Exercise - 2>Q 19

The temperature of

100 gm

of water is to be raised from

24 ° C

90 ° C

by adding steam to it. Calculate the mass of the steam (in

gm

) required for this purpose (Specific heat of water is

s = 1 cal g^{- 1} ° C^{- 1}

and later heat of steam is

L = 540 cal {gm}^{- 1}

)

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Alpha Question Bank for Engineering: Physics>Chapter 15 - Thermal Properties of Matter>Exercise - 2>Q 20

An electrical heating coil was placed in a calorimeter containing

360 gm

of water at

10 ° C

. The coil consumes energy at the rate of

90 watt

. The water equivalent of the calorimeter and the coil is

40 gm

. Calculate what will be the temperature

(in ° C) ≅

of the water after

10 minutes

. Write the answer to the nearest integer.

J = 4.2 Joules {cal}^{- 1}

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Alpha Question Bank for Engineering: Physics>Chapter 15 - Thermal Properties of Matter>Exercise - 2>Q 23

A simple seconds pendulum is constructed out of a very thin string of thermal coefficient of linear expansion

α = 20 \times 10^{- 4} ° C^{- 1}

and a heavy particle attached to one end. The free end of the string is suspended from the ceiling of an elevator at rest. The pendulum keeps the correct time at

0 ° C

. When the temperature rises to

50 ° C

, the elevator operator of mass

60 kg

being a student of physics accelerates the elevator vertically, to have the pendulum's correct time. Find the apparent weight (kg wt) of the operator when the pendulum keeps the correct time at

50 ° C

(Take g = 10 m s^{- 2})

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Alpha Question Bank for Engineering: Physics>Chapter 15 - Thermal Properties of Matter>Exercise - 2>Q 24

A steel rod

25 cm

long has a cross-sectional area of

0.8 {cm}^{2}

. The force required to stretch this rod by the same amount as the expansion produced by heating it through

10 ° C

10 X

. Find the value of

X

? (Coefficient of linear expansion of steel is

10^{- 5} ° C^{- 1}

and Young's modulus of steel is

2 \times 10^{10} N m^{- 2}

)

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Alpha Question Bank for Engineering: Physics>Chapter 15 - Thermal Properties of Matter>Exercise - 2>Q 25

A one Litre flask contains some mercury. It is found that at different temperatures the volume of air inside the flask remains the same. The volume (in litre) of mercury in the flask is

\frac{X}{100}

. Find the value of

X

coefficient of linear expansion of glass

= 9 \times 10^{- 6} ° C^{- 1}

. Coefficient of volume expansion of mercury

= 1.8 \times 10^{- 4} ° C^{- 1}

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Alpha Question Bank for Engineering: Physics>Chapter 15 - Thermal Properties of Matter>Exercise - 2>Q 26

When

m gm

of water at

10 ° C

is mixed with

m gm

of ice at

0 ° C

, which of the following statements are false?

Important Questions on Thermal Properties of Matter

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