Question types

Heat and Temperature question types

48 questions across 5 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

48
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5
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5
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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.

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 $0^\circ$C and a is the coefficient of linear expansion of the solid.
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A steel wire of cross-sectional area $0.5 \mathrm{~mm}^2$ is held between two fixed supports. If the wire is just taut at $20^{\circ} \mathrm{C}$, determine the tension when the temperature falls to $0^{\circ} \mathrm{C}$. Coefficient of linear expansion of steel is $1.2 \times 10^{-5}{ }^{~\circ} \mathrm{C}^{-1}$ and its Young's modulus is $2.0 \times 10^{11} \mathrm{~N} \mathrm{~m}^{-2}$.
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A gas thermometer measures the temperature from the variation of pressure of a sample of gas. If the pressure measured at the melting point of lead is 2.20 times the pressure measured at the triple point of water, find the melting point of lead.
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A steel ball initially at a pressure of $1.0 \times 10^5Pa$ is heated from $20^\circ C$ to $120^\circ C$ keeping its volume constant. Find the pressure inside the ball. Coefficient of linear expansion of steel $= 12 \times 10^{-6}$$ ^\circ C^{-1}$ and bulk modulus of steel $= 1.6 \times 10^{11}Nm^{-2}.$
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In a Callender's compensated constant pressure air thermometer, the volume of the bulb is 1800 cc. When the bulb is kept immersed in a vessel, 200 cc of mercury has to be poured out. Calculate the temperature of the vessel.
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A steel rod is clamped at its two ends and rests on a fixed horizontal base. The rod is unstrained at $20^\circ C$. Find the longitudinal strain developed in the rod if the temperature rises to $50^\circ C$. Coefficient of linear expansion of steel $= 1.2 \times 10^{-5} $$^\circ C^{-1}.$
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The density of water at 0°C is $0.998g\ cm^{-3}$ and at 4^\circC 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 103 Marks Question3 Marks
A concrete slab has a length of 10m on a winter night when the temperature is 0°C. Find the length of the slab on a summer day when the temperature is $35^\circ C.$ The coefficient of linear expansion of concrete is ${1.0 \times 10^{-5­}}^\circ C^{-1}$.
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Q 113 Marks Question3 Marks
Find the ratio of the lengths of an iron rod and an aluminium rod for which the difference in the lengths is independent of temperature. Coefficients of linear expansion of iron and aluminium are ${12 \times 10^{-6}}  ^\circ C^{-1}$ and ${23 \times 10^{-6}}^\circ C^{-1}$ respectively.
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Q 123 Marks Question3 Marks
A circular hole of diameter 2.00cm is made in an aluminium plate at $0^\circ C$. What will be the diameter at $100^\circ C?$ $\alpha$ for aluminium$= {2.3 \times 10^{-5}}{^\circ C^{-1}}.$
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A metre scale made of steel reads accurately at $20^{\circ} \mathrm{C}$. In a sensitive experiment, distances accurate up to 0.055 mm in 1 m are required. Find the range of temperature in which the experiment can be performed with this metre scale. Coefficient of linear expansion of steel $=11 \times 10^{-6}{ }^{\circ} \mathrm{C}^{-1}$.
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An aluminium can of cylindrical shape contains $500 \mathrm{~cm}^3$ of water. The area of the inner cross section of the can is $125 \mathrm{~cm}^2$. All measurements refer to $10^{\circ} \mathrm{C}$. Find the rise in the water level if the temperature increases to $80^{\circ} \mathrm{C}$. The coefficient of linear expansion of aluminium $=23 \times 10^{-6}{ }^{\circ} \mathrm{C}^{-1}$ and the average coefficient of volume expansion of water $=3.2 \times 10^{-4}{ }^{\circ} \mathrm{C}^{-1}$ respectively.
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Two metre scales, one of steel and the other of aluminium, agree at $20^\circ C$. Calculate the ratio aluminium-centimetre/ steel-centimetre at:
  1. $0^\circ C,$
  2. $40^\circ C$
  3. 100C. $\alpha$ for steel $=1.1 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1}$ and for aluminium $=2.3 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1}$.
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A metre scale is made up of steel and measures correct length at $16^{\circ} \mathrm{C}$. What will be the percentage error if this scale is used:
  1. On a summer day when the temperature is $46^{\circ} \mathrm{C}$.
  2. On a winter day when the temperature is $6^{\circ} \mathrm{C}$ ? Coefficient of linear expansion of steel $=11 \times 10^{-6}{ }^{\circ} \mathrm{C}^{-1}$.
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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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