Thermal Properties of Matter Test

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Thermal Properties of Matter Test - 56

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Question 1
1 / -0

An ideal gas is initially at $$ P_{l}, V_{1} $$ is expanded to $$ P_{2}, V_{2} $$ and then compressed adiabatically to the same volume $$ V_{l} $$ and pressure $$ P_{3} $$.If W is the net work done by the gas in complete process which of the

A
$$
W>0 ; P_{3}>P_{1}
$$

B
$$
W<0 ; P_{3}>P_{1}
$$

C
$$W<0;{P_3}$$

D
$$P_{2}>P_{1}$$;$$W<0$$

Solution

Hence, option $$(D)$$ is correct answer.
Question 2
1 / -0

A small quantity, mass m, of water at a temperature $$\theta$$ in ($$^oC$$) is poured on to a large mass M of ice which is at its melting point. If c is the specific heat capacity of water and L the latent heat of fusion of ice, then the mass of ice melted is given by :

A
$$\dfrac{ML}{mc\theta}$$

B
$$\dfrac{mc\theta}{ML}$$

C
$$\dfrac{Mc\theta}{L}$$

D
$$\dfrac{mc\theta}{L}$$

Solution
Question 3
1 / -0

A sample of gas expands from volume $$V _ { 1 }$$ to $$V _ { 2 } .$$ The amount of work done by the gas is greatest when the expansion is

A
adiabatic

B
isobaric

C
isothermal

D
Equal in all above cases

Solution

$$\begin{array}{l} \therefore \, \, w=\int { pdv } \\ Ans.\, \, (B) \end{array}$$
Question 4
1 / -0

All bodies radiate heat at all temperature except at

A
$$0^0C$$

B
$$100^0C$$

C
$$0K$$

D
Absolute temperature

Solution
Question 5
1 / -0

The intensity of heat radiation by a point source measured by a thermopile placed at a distance d is $$I$$ , If the distance of thermopile is doubled then the intensity of radiation will be -

A
$$I$$

B
$$2I$$

C
$$I/4$$

D
$$I/2$$
Question 6
1 / -0

If $$C_p$$ and $$C_v$$ are molar specific heats of an ideal gas at constant pressure and volume respectively. If $$\gamma$$ is ratio of two specific heats and $$R$$ is universal gas constant then $$C_p$$ is equal to?

A
$$\dfrac{R\gamma}{\gamma -1}$$

B
$$\gamma R$$

C
$$\dfrac{1+\gamma}{1-\gamma}$$

D
$$\dfrac{R}{\gamma -1}$$

Solution

Given: $$\dfrac{C_p}{C_v} = \gamma$$
We know,
$$C_p - C_v = R $$ .........................$$(1)$$
Here,$$C_p$$ and $$C_v$$ are molar specific heat capacities of an ideal gas at constant pressure and volume and $$R$$ is the universal gas constant.
Dividing both sides by $$C_p$$ in equation $$(1)$$.
$$ 1 - \dfrac{1}{\gamma} = \dfrac{R}{C_p}$$
$$ \dfrac{\gamma - 1}{\gamma} = \dfrac{R}{C_p}$$
$$ \therefore C_p = \dfrac{γ R}{\gamma-1}$$
Question 7
1 / -0

A sphere, a cube and a thin circular plate, all of same material and same mass, are initially heated to same high temperature. Choose the correct statement.

A
The plate will cool fastest and cube the slowest

B
The sphere will cool faster and cube and the slowest

C
The plate will cool faster and sphere the slowest

D
The cube will cool fastest and plate the slowest.

Solution

The surface area of the sphere is less than the surface area of the cube for the given same mass and the same density.
The rate of cooling is proportional to the area of contact with the surroundings. So, the plate will cool faster than the sphere.
option (A) is correct.
Question 8
1 / -0

r.m.s. speed of ideal gas at $$127^oC$$ is $$200m/s$$, the r.m.s. speed of same ideal gas at temperature $$227^oC$$ is:

A
$$100\sqrt{5}$$

B
$$200\sqrt{5}$$

C
$$100\sqrt{15}$$

D
$$100\sqrt{10}$$

Solution

$$v = \sqrt{\dfrac{3RT}{M}}$$
$$\dfrac{v_1}{v_2} = \sqrt{\dfrac{T_1}{T_2}} = \dfrac{200}{v_2} = \sqrt{\dfrac{400}{500}}$$
$$v_2 = 100\sqrt{5}$$
Question 9
1 / -0

Heat current is maximum in which of the following (rods are of identical dimension)

A
Copper

B
Copper steel

C
Steel Copper

D
Steel

Solution

Thermal resistance of $$Cu$$ is lesser than the thermal resistance of $$steel$$ . Hence ,only in option (a), thermal resistance is minimum so heat current is maximum .
Question 10
1 / -0

What happens in the process of thermionic emission?

A
Complete molecules are emitted from the surface of a hot liquid

B
Single atoms are emitted from the surface of a hot liquid

C
Electrons are emitted from the surface of a hot metal

D
Protons are emitted from the surface of a hot metal

Solution

In thermionic emmsion, electron take heat and are emitted from the surface of the hot metal.

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Thermal Properties of Matter Test - 56

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Thermal Properties of Matter Test - 56

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Question 1

$$ W>0 ; P_{3}>P_{1} $$

$$ W<0 ; P_{3}>P_{1} $$

$$W<0;{P_3}$$

$$P_{2}>P_{1}$$;$$W<0$$

Solution

Question 2

$$\dfrac{ML}{mc\theta}$$

$$\dfrac{mc\theta}{ML}$$

$$\dfrac{Mc\theta}{L}$$

$$\dfrac{mc\theta}{L}$$

Solution

Question 3

adiabatic

isobaric

isothermal

Equal in all above cases

Solution

Question 4

$$0^0C$$

$$100^0C$$

$$0K$$

Absolute temperature

Solution

Question 5

$$I$$

$$2I$$

$$I/4$$

$$I/2$$

Question 6

$$\dfrac{R\gamma}{\gamma -1}$$

$$\gamma R$$

$$\dfrac{1+\gamma}{1-\gamma}$$

$$\dfrac{R}{\gamma -1}$$

Solution

Question 7

The plate will cool fastest and cube the slowest

The sphere will cool faster and cube and the slowest

The plate will cool faster and sphere the slowest

The cube will cool fastest and plate the slowest.

Solution

Question 8

$$100\sqrt{5}$$

$$200\sqrt{5}$$

$$100\sqrt{15}$$

$$100\sqrt{10}$$

Solution

Question 9

Copper

Copper steel

Steel Copper

Steel

Solution

Question 10

Complete molecules are emitted from the surface of a hot liquid

Single atoms are emitted from the surface of a hot liquid

Electrons are emitted from the surface of a hot metal

Protons are emitted from the surface of a hot metal

Solution

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$$
W>0 ; P_{3}>P_{1}
$$

$$
W<0 ; P_{3}>P_{1}
$$