Question types

Thermal Properties of Matter question types

27 questions across 4 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

27
Questions
4
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5
Question types
Sample Questions

Thermal Properties of Matter questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Mark the correct options:
  • A
    A system $X$ is in thermal equilibrium with $Y$ but not with $Z.$ System $Y$ and $Z$ may be in thermal equilibrium with each other.
  • B
    A system $X$ is in thermal equilibrium with $Y$ but not with $Z$. Systems $Y$ and $Z$ are not in thermal equilibrium with each other.
  • C
    A system $X$ is neither in thermal equilibrium with $Y$ nor with $Z$. The system $Y$ and $Z$ may be in thermal equilibrium with each other.
  • Both $B$ and $C$

Answer: D.

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As the temperature is increased, the time period of a pendulum:
  • Increases as its effective length increases even though its centre of mass still remains at the centre of the bob.
  • B
    Decreases as its effective length increases even though its centre of mass still remains at the centre of the bob.
  • C
    Increases as its effective length increases due to shifting of centre of mass below the centre of the bob.
  • D
    Decreases as its effective length remains same but the centre of mass shifts above the centre of the bob.

Answer: A.

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A uniform metallic rod rotates about its perpendicular bisector with constant angular speed. If it is heated uniformly to raise its temperature slightly:
  • A
    Its speed of rotation increases.
  • Its speed of rotation decreases.
  • C
    Its speed of rotation remains same.
  • D
    Its speed increases because its moment of inertia increases.

Answer: B.

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The radius of a metal sphere at room temperature T is R, and the coefficient of linear expansion of the metal is $\alpha.$ The The sphere is heated a little by a temperature $\Delta\text{T}$ so that its new temperature is $\text{T}+\Delta\text{T}.$ The increase in the volume of the sphere is approximately:
  • A
    $2\pi\text{R }\alpha\ \Delta\text{T}$
  • B
    $\pi\text{R}^2\alpha\ \Delta\text{T}$
  • C
    $\frac{4\pi\text{R}^3\alpha\ \Delta\text{T}}{3}$
  • ${4\pi\text{R}^3\alpha\ \Delta\text{T}}$

Answer: D.

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Refer to the plot of temperature versus time showing the changes in the state of ice on heating $($not to scale$)$. Which of the following is correct?
  1. The region $AB$ represents ice and water in thermal equilibrium.
  2. At $B$ water starts boiling.
  3. At $C$ all the water gets converted into steam.
  4. $C$ to $D$ represents water and steam in equilibrium at boiling point.
  • $a$ and $d$
  • B
    $b$ and $d$
  • C
    $c$ and $d$
  • D
    $b$ and $c$

Answer: A.

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These days people use steel utensils with copper bottom. This is supposed to be good for uniform heating of food. Explain this effect using the fact that copper is the better conductor.
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100 g of water is supercooled to -$10^\circC$. At this point, due to some disturbance mechanised or otherwise some of it suddenly freezes to ice. What will be the temperature of the resultant mixture and how much mass would freeze?
[Sw = 1cal/ $g/^\circC$ and $L^W$Fusion = 80cal/ g]
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Find out the increase in moment of inertia I of a uniform rod $($coefficient of linear expansion $\alpha)$ about its perpendicular bisector when its temperature is slightly increased by $\Delta\text{T}.$
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Q 103 Marks Question3 Marks
A student records the initial length l, change in temperature $\Delta\text{T}$ and change in length $\Delta\text{l}$ of a rod as follows:
S.NO.
l(m)
$\Delta\text{T(C)}$
$\Delta\text{l}(\text{m})$
$1.$
$2
$10
$4 \times 10^{-4}$
$2.
$1
$10
$4 \times 10^{-4}$
$3.
$2
$20
$2 \times 10^{-4}$
$4.
$3
$10
$6 \times 10^{-4}$
If the first observation is correct, what can you say about observations 2, 3 and 4.
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Q 123 Marks Question3 Marks
Why does a metal bar appear hotter than a wooden bar at the same temperature? Equivalently it also appears cooler than wooden bar if they are both colder than room temperature.
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We would like to prepare a scale whose length does not change with temperature. It is proposed to prepare a unit scale of this type whose length remains, say $10cm$. We can use a bimetallic strip made of brass and iron each of different length whose length (both components) would change in such a way that difference between their lengths remain constant. If $a_{iron} = 1.2 \times 10^{-5}/ K$ and $a_{brass} = 1.8 \times 10^{-5}/ K$, what should we take as length of each strip?
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Calculate the stress developed inside a tooth cavity filled with copper when hot tea at temperature of $57^{\circ} \mathrm{C}$ is drunk. You can take body (tooth) temperature to be $37^{\circ} \mathrm{C}$ and $\mathrm{a}=1.7 \times 10^{-5} /{ }^{\circ} \mathrm{C}$ bulk modulus for copper $=140 \times 10^9 \mathrm{~N} / \mathrm{m}^2$
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During summers in India, one of the common practice to keep cool is to make ice balls of crushed ice, dip it in flavoured sugar syrup and sip it. For this a stick is inserted into crushed ice and is squeezed in the palm to make it into the ball. Equivalently in winter, in those areas where it snows, people make snow balls and throw around. Explain the formation of ball out of crushed ice or snow in the light of P–T diagram of water.
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One day in the morning, Ramesh filled up 1/ 3 bucket of hot water from geyser, to take bath. Remaining 2/ 3 was to be filled by cold water (at room temperature) to bring mixture to a comfortable temperature. Suddenly Ramesh had to attend to something which would take some times, say 5-10 minutes before he could take bath. Now he had two options:
  1. Fill the remaining bucket completely by cold water and then attend to the work.
  2. First attend to the work and fill the remaining bucket just before taking bath. Which option do you think would have kept water warmer? Explain.
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A thin rod having length $L_0$ at $0°C$ and coefficient of linear expansion $\alpha$ has its two ends maintained at temperatures $\theta_1$ and $\theta_2,$ respectively. Find its new length.
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