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A thermally insulated piece of metal is heated by supplying a constant power $P$ . Due to this, the temperature of the metal starts varying with time as
$T = α t^{\frac{1}{4}} + T_{0}$
The heat capacity of the metal as a function of temperature is

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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>EXERCISE>Q 7

The time period of a pendulum is given by

T = 2 π \sqrt{\frac{I}{g}}

If the temperature rises by

Δ θ

and coefficient of linear expansion of the wire is

α

, the change in time period is

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

The compressional force required to prevent a metallic rod of cross-sectional area

A

from expanding, when it is heated to increase its temperature by

t ° C

, is (modulus of elasticity is

E

and coefficient of linear expansion is

α

)

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Gamma Question Bank for Engineering Physics>Chapter 10 - Thermal Properties of Matter>EXERCISE>Q 11

Two metallic rods of equal length and cross-section but thermal conductivities $K_{1}$ and $K_{2}$ are welded as shown

Question Image

The equivalent thermal conductivity of this resulting rod will be

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Gamma Question Bank for Engineering Physics>Chapter 10 - Thermal Properties of Matter>EXERCISE>Q 12

In a steady state, the temperatures at the end

A

and

B

20 cm

long rod

A B

are

100 ° C

and

0 ° C

. The temperature of a point

9 cm

from

A

is,

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Gamma Question Bank for Engineering Physics>Chapter 10 - Thermal Properties of Matter>EXERCISE>Q 16

A uniform metal ring with centre

C

has two points

A

and

B

maintained at two different constant temperatures. The angle

A C B

θ

. If it is known that for

θ = 180 °

, rate of heat flow from

A

B

1.2 W

, the rate of heat flow for

θ = 90 °

will be

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Gamma Question Bank for Engineering Physics>Chapter 10 - Thermal Properties of Matter>EXERCISE>Q 17

A metallic sphere having inner radius a and outer radius

b

has thermal conductivity

k = \frac{k_{0}}{r^{2}} (a \leq r \leq b)

. The thermal resistance between inner and outer surface for radial heat flow is

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Gamma Question Bank for Engineering Physics>Chapter 10 - Thermal Properties of Matter>EXERCISE>Q 18

A hot body cools from

85 ° C

75 ° C T

in time

T_{1}

, from

75 ° C

65 ° C

in time

T_{2}

and from

65 ° C

55 ° C

in time

T_{3}

, then (temperature of surrounding

= 30 ° C

)

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Gamma Question Bank for Engineering Physics>Chapter 10 - Thermal Properties of Matter>EXERCISE>Q 19

The temperature and the surface area of a body are

227 ° C

and

0.15 m^{2}

respectively. If its transmitting power is negligible and reflecting power is

0.5

, the thermal power of the body is

A thermally insulated piece of metal is heated by supplying a constant power P. Due to this, the temperature of the metal starts varying with time as T=αt14+T0 The heat capacity of the metal as a function of temperature is

Important Questions on Thermal Properties of Matter

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A thermally insulated piece of metal is heated by supplying a constant power $P$ . Due to this, the temperature of the metal starts varying with time as
$T = α t^{\frac{1}{4}} + T_{0}$
The heat capacity of the metal as a function of temperature is