Consider a pair of insulating blocks with thermal resistances R 1 , and R 2 as shown in the figure. The temperature θ at the boundary between the two blocks is

θ 1 θ 2 R 1 R 2 θ 1 + θ 2 R 1 + R 2

θ 1 + θ 2 R 1 R 2 R 1 2 + R 2 2

The figure below shows the variation of specific heat capacity ( C ) of a solid as a function of temperature ( T ). The temperature is increased continuously from 0 to 500 K at a constant rate. Ignoring any volume change, the following statement (s) is (are) correct to a reasonable approximation.

The rate of heat absorption increases in the range 200 - 300 K .

HARD

Physics

IMPORTANT

Earn 100

An earthen pitcher used in summer cools water in it essentially by evaporation of water from its porous surface. If a pitcher carries $4 kg$ water and the rate of evaporation is $20 g$ per hour, the temperature of water in it decreases by $Δ T$ in two hours. The value of $Δ T$ is close to (ratio of latent heat of evaporation to specific heat of water is $540 ° C$ )

50% studentsanswered this correctly

Important Questions on Thermal Properties of Matter

HARD

Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 10 - Thermal Properties of Matter>Exercise 1>Q 6

The specific heat of many solids at low temperatures varies with absolute temperature $T$ according to the graph as shown. Then heat energy required to raise the temperature of a unit mass of such a solid from $T = 0$ to $T = 30 K$

Question Image

HARD

Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 10 - Thermal Properties of Matter>Exercise 1>Q 7

Two identical blocks of metal are at

20 ° C

and

80 ° C

, respectively. The specific heat of the material of the two blocks increases with temperature. Which of the following is true about the final temperature

T_{f}

when the two blocks are brought into contact (assuming that no heat is lost to the surroundings)?

HARD

Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 10 - Thermal Properties of Matter>Exercise 1>Q 8

A milk chilling device can remove heat from the milk at the rate of

41.87 \times 10^{6} J h^{- 1}

. Milk also absorbs energy from surrounding at the rate of

4.187 \times 10^{6} J h^{- 1}

. Assuming both the given rate to be uniform, it is observed that it takes

X

minutes for cooling of

500 kg

milk from

50 ° C

5 ° C

, then

X

(

here, specific heat at a constant pressure

C_{p}

of milk is

4.187 kJ {kg}^{- 1} K^{- 1})

HARD

Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 10 - Thermal Properties of Matter>Exercise 1>Q 9

1 kg

of ice at

- 20 ° C

is mixed with

2 kg

of water at

90 ° C

. Assuming that there is no loss of energy to the environment, what will be the final temperature of the mixture? (Assume latent heat of ice

= 334.4 kJ {kg}^{- 1}

, specific heat of water and ice are

4.18 kJ {kg}^{- 1} K^{- 1}

and

2.09 kJ {kg}^{- 1} K^{- 1},

respectively)

HARD

Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 10 - Thermal Properties of Matter>Exercise 1>Q 10

Ice in a freezer is at

- 7 ° C .

100 g

of this ice is mixed with

200 g

of water at

15 ° C .

Consider the freezing temperature of water to be

0 ° C

, the specific heat of ice as

2.2 J g^{- 1} ° C^{- 1}

, specific heat of water equal to

4.2 J g^{- 1} ° C^{- 1},

and the latent heat of ice is equal to

335 J g^{- 1}

. Assuming no loss of heat to the environment, the mass of ice in the final mixture is closest to

HARD

Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 10 - Thermal Properties of Matter>Exercise 1>Q 11

Three liquids with masses

m_{1}, m_{2}, m_{3}

are thoroughly mixed. If their specific heats are

c_{1}, c_{2}, c_{3}

and their temperature

T_{1}, T_{2}, T_{3}

, respectively, then the temperature of the mixture is

HARD

Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 10 - Thermal Properties of Matter>Exercise 1>Q 12

A metal ball of specific gravity

4.5

and specific heat

0.1 cal g^{- 1} ° C^{- 1}

is placed on a large slab of ice at

0 ° C

. When ball’s temperature become

0 ° C

then half of the ball sinks in the ice. The initial temperature of the ball is :- (Latent heat capacity of ice

= 80 cal g^{- 1}

, specific gravity of ice

= 0.9

)

HARD

Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 10 - Thermal Properties of Matter>Exercise 1>Q 13

A coffee maker makes coffee by passing steam through a mixture of coffee powder, milk and water. If the steam is mixed at the rate of

50 g

per minute in a mug containing

500 g

of mixture, then it takes about

t_{0}

seconds to make coffee at

70 ° C

when the initial temperature of the mixture is

25 ° C

. The value of

t_{0}

is close to (ratio of latent heat of evaporation to specific heat of water is

540 ° C

and specific heat of the mixture can be taken to be the same as that of water)

Important Questions on Thermal Properties of Matter

Learn and Prepare for any exam you want !