The density of a substances decreases from 10 × 10 - 3 kgm - 3 to 7 × 10 - 3 kgm - 3 on heating it from 0 ° C to 100 ° C . If coefficient of linear expansion, of substance, is nearly 1 × 10 - k C ∘ - 1 , then value of K is

The density of the substance changes according to the expression ρ = ρ 0 1 + γ ∆ T ρ 0 is the initial density. Coefficient of cubical (volumetric) expansion γ = 3 α (coefficient of linear expansion) . ⇒ 7 × 10 - 3 = 10 × 10 - 3 1 + γ × ( 100 - 0 ) ⇒ γ = 3 × 10 - 5 ( ° C ) ⇒ α = 1 × 10 - 5 ( ° C ) ⇒ k = 5

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An incandescent bulb has a thin filament of tungsten that is heated to high temperature by passing an electric current. The hot filament emits black-body radiation. The filament is observed to break up at random locations after a sufficiently long time of operation due to non-uniform evaporation of tungsten from the filament. If the bulb is powered at constant voltage, which of the following statement(s) is(are) true?

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Important Questions on Thermal Properties of Matter

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Gamma Question Bank for Engineering Physics>Chapter 10 - Thermal Properties of Matter>Assignment>Q 1

A solid sphere of radius $b = 4 cm$ has a cavity of radius $a = 2 cm .$ The cavity is filled with steam at $100 ° C .$ The solid sphere is placed inside the ice at $0 ° C .$ Thermal conductivity of material of sphere is $0.5 W / m \cdot {}^{\circ}C .$ If the rate of flow of heat through the sphere radially is $x π J / s$ then find the value of $x .$

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Gamma Question Bank for Engineering Physics>Chapter 10 - Thermal Properties of Matter>Assignment>Q 2

Three identical rods are joined at point $O$ as shown in the figure. In the steady state, find the ratio of thermal current through $rod A O$ and $O C .$

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Gamma Question Bank for Engineering Physics>Chapter 10 - Thermal Properties of Matter>Assignment>Q 3

Two identical rods are arranged in two different ways as shown in the figure. If $R_{1}$ is rate at which Ice is melting in figure $1$ and $R_{2}$ is the rate at which Ice is melting in figure $2$ then $\frac{R_{2}}{R_{1}}$ is equal to

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Gamma Question Bank for Engineering Physics>Chapter 10 - Thermal Properties of Matter>Assignment>Q 4

A certain amount of ice is heated at a constant rate for

16

minutes. For the first

2

minutes, the temperature rises uniformly with time, then it remains constant for next

10

minutes and again the temperature rises at uniform rate for last

4

minutes. Final temperature at the end of

16

minutes

{}^{\circ}C

{}^{\circ}C),

[C_{ice} = 0.5 cal g ° C^{- 1}, C_{water} = cal g ° C^{- 1}, L_{f} = 80 cal g^{- 1}]

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Gamma Question Bank for Engineering Physics>Chapter 10 - Thermal Properties of Matter>Assignment>Q 5

The sun having surface temperature

6000 K

radiates like a black body. The radius of sun is

R_{s}

and a planet is at a distance of

5000 R_{S}

from the surface of Sun. The planet absorbs radiation from Sun only and is at constant temperature

T

(in

K

). Find the value of

\frac{T}{10} .

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Gamma Question Bank for Engineering Physics>Chapter 10 - Thermal Properties of Matter>Assignment>Q 6

1 gram

ice at

0 ° C

and

1 gram

vapour at

100 ° C

are mixed together. Assuming no heat loss, the final temperature ( in

{}^{\circ}C)

of the mixture will be

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Gamma Question Bank for Engineering Physics>Chapter 10 - Thermal Properties of Matter>Assignment>Q 7

Steel wire of length

' L'

40 ° C

is suspended from the ceiling and then a mass

' m'

is hung from its free end. The wire is cooled down from

40 ° C

30 ° C

to regain its original length

' L' .

The coefficient of linear thermal expansion of the steel is

10^{- 5} {}^{\circ}C^{- 1}

, Young's modulus of steel is

10^{11} N m^{- 2}

and radius of the wire is

1 mm .

. Assume that

L ≫

diameter of the wire. Then the value of

' m :

kg

is nearly.

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Gamma Question Bank for Engineering Physics>Chapter 10 - Thermal Properties of Matter>Assignment>Q 8

The density of a substances decreases from

10 \times 10^{- 3} {kgm}^{- 3}

7 \times 10^{- 3} {kgm}^{- 3}

on heating it from

0 ° C

100 ° C .

If coefficient of linear expansion, of substance, is nearly

1 \times 10^{- k} {({}^{\circ}C)}^{- 1},

then value of

K

Important Questions on Thermal Properties of Matter

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