Question types

Heat and Temperature question types

65 questions across 6 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

65
Questions
6
Question groups
5
Question types
Sample Questions

Heat and Temperature questions

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

A body A is placed on a railway platform and an identical body B in a moving train. Which of the following energies of B are greater than those of A, as seen from the ground?
  1. Kinetic.
  2. Total.
  3. Mechanical.
  4. Internal.
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Two identical rectangular strips, one of copper and the other of steel, are rivetted together to form a bimetallic strip $(\alpha_{\text{copper}}>\alpha_\text{steel})$. On heating, this strip will:
  1. Remain straight.
  2. Bend with copper on convex side.
  3. Bend with steel on convex side.
  4. Get twisted.
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If the temperature of a uniform rod is slightly increased by $\Delta\text{t}$, its moment of inertia I about a perpendicular bisector increases by:

  1. $\text{Zero}$

  2. $\alpha\text{I}\Delta\text{t}$

  3. $2\alpha\text{I}\Delta\text{t}$

  4. $3\alpha\text{I}\Delta\text{t}$

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If the temperature of a uniform rod is slightly increased by ∆t, its moment of inertia Iabout a line parallel to itself will increase by:

  1. $\text{Zero}$

  2. $\alpha\text{I}\Delta\text{t}$

  3. $2\alpha\text{I}\Delta\text{t}$

  4. $3\alpha\text{I}\Delta\text{t}$

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Show that moment of inertia of a solid body of any shape changes with temperature as $\text{I}=\text{I}_0(1+2\alpha\theta),$ where $\text{I}_0$ is the moment of inertia at 0°C and a is the coefficient of linear expansion of the solid.
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A steel wire of cross-sectional area 0.5mm2 is held between two fixed supports. If the wire is just taut at 20°C, determine the tension when the temperature falls to 0°C. Coefficient of linear expansion of steel is 1.2 × 10-5 °C-1 and its Young's modulus is 2.0 × 1011N m-2.
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The pressures of the gas in a constant volume gas thermometer are 80cm, 90cm and 100cm of mercury at the ice point, the steam point and in a heated wax bath, respectively. Find the temperature of the wax bath.
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A platinum resistance thermometer reads 0°when its resistance is $80\Omega$ and 100° when its resistance is $90\Omega$. Find the temperature at the platinum scale at which the resistance is $86\Omega$.
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It is heard sometime that mercury is used in defining the temperature scale because it expands uniformly with temperature. If the temperature scale is not yet defined, is it logical to say that a substance expands uniformly with temperature?
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In a Callender's compensated constant pressure air thermometer, the volume of the bulb is 1800 cc. When the bulb is kept immersed in a vessel, 200 cc of mercury has to be poured out. Calculate the temperature of the vessel.
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Q 133 Marks Question3 Marks
A circular hole of diameter 2.00cm is made in an aluminium plate at 0°C. What will be the diameter at 100°C? $\alpha$ for aluminium= 2.3 × 10-5 °C-1.
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Q 153 Marks Question3 Marks
In defining the ideal gas temperature scale, it is assumed that the pressure of the gas at constant volume is proportional to the temperature T. How can we verify whether this is true or not? Are we using the kinetic theory of gases? Are we using the experimental result that the pressure is proportional to temperature?
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Q 163 Marks Question3 Marks
The length of a brass rod is found to be smaller less on a hot summer day than on a cold winter day as measured by the same aluminium scale. Do we conclude that brass shrinks on heating?
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Q 173 Marks Question3 Marks
The density of water at 0°C is 0.998g cm-3 and at 4°C is 1000g cm-3.Calculate the average coefficient of volume expansion of water in the temperature range 0 to 4°C.
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Q 194 Marks Question4 Marks
If an automobile engine is overheated, it is cooled by putting water on it. It is advised that the water should be put slowly with engine running. Explain the reason.
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A glass window is to be fit in an aluminium frame. The temperature on the working day is 40°C and the glass window measures exactly 20cm × 30cm. What should be the size of the aluminium frame so that there is no stress on the glass in winter even if the temperature drops to 0°C ? Coefficients of linear expansion for glass and aluminium are 9.0 × 10-6 °C-1 and 24 × 10-6 °C-1 respectively.
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A glass vessel measures exactly 10cm × 10cm × 10cm at 0°C. It is filled completely with mercury at this temperature. When the temperature is raised to 10°C, 1.6cm3 of mercury overflows. Calculate the coefficient of volume expansion of mercury. Coefficient of linear expansion of glass = 6.5 × 10-6 °C.
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A torsional pendulum consists of a solid disc connected to a thin wire$\Big(\alpha=2.4\times10^{-5}\ ^\circ\text{C}^{-1}\Big)$at its centre. Find the percentage change in the time period between peak winter (5°C) and peak summer (45°C).
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A resistance thermometer reads R =$20.0\Omega$, $27.5\Omega$, and $50.0\Omega$ at the ice point (0°C), the steam point (100°C) and the zinc point (420°C) respectively. Assuming that the resistance varies with temperature as$\text{R}_\theta=\text{R}_0(1+\alpha\theta+\beta\theta^2)$, find the values of $\text{R}_0,$ $\alpha \ \text{and}\ \beta.$ Here $\theta$ represents the temperature on Celsius scale.
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