Thermal Properties of Matter Test

Result

Thermal Properties of Matter Test - 68

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Question 1
1 / -0

A long mercury glass tube with a uniform capillary bore has in it a thread of mercury which is $$1m$$ long at $$0^\circ C$$. What will be its length at $$100^\circ C$$ is the real coefficient of expansion of mercury is $$0.000182^\circ C^{-1}$$ and coefficient of cubical expansion of glass equal to $$0.000025^\circ C^{-1}$$.

A
$$0.516\ m$$

B
$$1.016\ m$$

C
$$1.516\ m$$

D
$$2.016\ m$$

Solution
Question 2
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A glass bottle of capacity $$50\ cc$$ at $$0^\circ C$$ is filled with paraffin at $$15^\circ C$$. Given that the density of paraffin at $$0^\circ C$$ is $$0.82\ g/cc$$, coefficient of expansion of paraffin is $$0.0009^\circ C$$ and coefficient of linear expansion is $$0.000009^\circ C$$, the mass of paraffin in the bottle is:-

A
$$40.5\ g$$

B
$$54.0\ g$$

C
$$50.4\ g$$

D
$$5.04\ g$$

Solution
Question 3
1 / -0

Two metal spheres have radii r and 2r and they emit thermal radiation with maximum intensities at wavelengths $$\lambda$$ and $$2\lambda$$ respectively. The respective ratio of the radiant energy emitted by them per second will be

A
4 : 1

B
1 : 4

C
16 : 1

D
8 : 1

Solution
Question 4
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$$4.0g$$ of a gas occupies $$22.4 litres$$ at $$NTP$$. The specific heat capacity of the gas at constant volume is$$5.0{ JK }^{ -1 }{mol }^{ -1 }$$. If the speed of sound in this gas at NTP is $$952ms^{-1}$$, then the heat capacity at constant pressure is(Take gas constant $$R= 8.3{ JK }^{ -1 }{mol }^{ -1 }$$)

A
$$ 8.5{ JK }^{ -1 }{mol }^{ -1 }$$

B
$$ 8.0{ JK }^{ -1 }{mol }^{ -1 }$$

C
$$ 7.5{ JK }^{ -1 }{mol }^{ -1 }$$

D
$$ 7.0{ JK }^{ -1 }{mol }^{ -1 }$$

Solution
Question 5
1 / -0

Three closed vessels A, B and C are at the same temperature T and contain gases which obey the Maxwellian distribution of velocities, Vessel A contains only $${ O }_{ 2 }$$ B only $${ N }_{ 2 }$$ and C a mixture of equal quantities of $${ O }_{ 2 }$$ and $${ N }_{ 2 }$$ If the average speed of the $${ O }_{ 2 }$$ molecules in vessel A is $${ V }_{ 1 }$$, that of $$N_{ 2 }$$ molecules in vessel B is $$V_{ 2 }$$ the average speed of the $$O_{ 2 }$$ molecules in vessel C is ( where M is the mass of an oxygen molecule)

A
$$\left( { V }_{ 1 }+{ V }_{ 2 } \right) /2$$

B
$${ V }_{ 1 }$$

C
$$\left( { V }_{ 1 }{ V }_{ 2 } \right) ^{ 1/2 }$$

D
$$\sqrt { 3kT/M } $$

Solution
Question 6
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Two contains are filled, each with a different gas,The two containers are at the same temperature.Suppose that the molecular weight of the two gases are $$ M_A and M_B $$ the average moments (in magnitude) of the molecules are related as:

A
$$ P_A = P_B $$

B
$$ P_A = \frac {M_B}{M_A} P_B $$

C
$$ P_ A=\left( \frac { M_ A }{ M_ B } \right)^{1/2} P_B $$

D
$$ P_ A=\left( \frac { M_ B }{ M_ A } \right)^{1/2} P_B $$

Solution
Question 7
1 / -0

A 2 cm thick slab of commercial thermocole $${ 100cm }^{ 2 }$$ in cross -section and having thermal conductivity $$2\times { 10 }^{ -4 }$$ cal $${ sec }^{ -1 }{ ^{ 0 }{ C } }^{ -1 }$$ has insulating regions diferring by $$100^{ \circ }C$$. The quality of heat flowing through it in a day

A
20.4 K cal

B
43.2 K cal

C
86.4 K cal

D
23.2 K cal

Solution
Question 8
1 / -0

A motor - car tyre has a pressure of 2 atm at 27C. It suddenly bursts. If $$\Bigg(\dfrac{C_p}{C_v} = 1.4 \Bigg)$$ for air, find resulting temp :-

A
24 K

B
27C

C
-27C

D
246C

Solution
Question 9
1 / -0

A rod of length L with sides fully insulated is of a material whose thermal conductivity varies with temperature as $$K=\dfrac{\alpha}{T},$$ where $$\alpha$$ is a constant. The ends of the rod are kept at temperature $$T_1$$ and $$T_2.$$ The temperature T at x, where x is the distance from the end whose temperature is $$T_1$$ is

A
$${ { T }_{ 1 }\left( \dfrac { { T }_{ 2 } }{ { T }_{ 1 } } \right) }^{ \dfrac { x }{ L } }$$

B
$$\dfrac { x }{ L } ln\dfrac { { T }_{ 2 } }{ { T }_{ 1 } } $$

C
$${ { T }_{ 1 }e }^{ \dfrac { { T }_{ 2 }x }{ { T }_{ 1 }L } }$$

D
$${ T }_{ 1 }+\dfrac { { T }_{ 2 }-{ T }_{ 1 } }{ L } x$$

Solution
Question 10
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The density of a liquid at $$100 ^ { \circ } \mathrm { C }$$ is 8.0$$\mathrm { g } / \mathrm { cm } ^ { 3 }$$and at $$0 ^ { \circ } \mathrm { C }$$ is 8.4$$\mathrm { g } / \mathrm { cm } ^ { 3 }$$ , the coefficient of cubical expansion of the liquid is

A
$$10 ^ { - 4 } / ^ { \circ } \mathrm { C }$$

B
$$5 \times 10 ^ { - 4 } / ^ { 0 } \mathrm { C }$$

C
$$8 \times 10 ^ { - 4 } / ^ { \circ } \mathrm { C }$$

D
$$4 \times 10 ^ { - 4 } / ^ { 0 } \mathrm { C }$$

Solution