List of top Physics Questions on Thermal Expansion

Consider a rectangular sheet of solid material of length $ \ell = 9 $ cm and width $ d = 4 $ cm. The coefficient of linear expansion is $ \alpha = 3.1 \times 10^{-5} $ K$^{-1}$ at room temperature and one atmospheric pressure. The mass of the sheet is $ m = 0.1 $ kg and the specific heat capacity $ C_v = 900 $ J kg$^{-1}$K$^{-1}$. If the amount of heat supplied to the material is $ 8.1 \times 10^2 $ J, then the change in area of the rectangular sheet is:
A wire of length 0.5 m and area of cross-section $4 \times 10^{-6}$ m$^2$ at a temperature of 100°C is suspended vertically by fixing its upper end to the ceiling. The wire is then cooled to 0°C, but is prevented from contracting, by attaching a mass at the lower end. If the mass of the wire is negligible, then the value of the mass attached to the wire is [Young's modulus of material of the wire = $10^{11}$ N/m$^2$; coefficient of linear expansion of the material of the wire = $10^{-5}$ K$^{-1}$ and acceleration due to gravity = 10 m/s$^2$]
The apparent coefficient of expansion of a liquid, when heated in a copper vessel, is \( C \) and when heated in a silver vessel is \( S \). If \( A \) is the linear coefficient of expansion of copper, then the linear coefficient of expansion of silver is:
If the resistance of a wire is 5 $ \Omega $ and 6 $ \Omega $ at 30°C and 40°C respectively, find the temperature coefficient of resistance.
The wavelength of body radiation having maximum energy is $ \lambda_m $ at temperature $ T $. If the wavelength of radiation corresponds to maximum energy is $ \frac{\lambda}{3} $, then temperature is:
Length of a rod increases 0.2% on increasing the temperature by 100°C. The value of coefficient of linear expansion of material of rod is
A uniform metal solid sphere is rotating with angular speed \( \omega_0 \) about its diameter. If the temperature is raised by 50°C, the angular speed will be: Given \( \alpha_{\text{metal}} = 20 \times 10^{-5} \, \text{°C}^{-1} \)
A metal rod of length 1 m at 20°C is made up of a material of coefficient of linear expansion \( 2 \times 10^{-5} \, \text{°C}^{-1} \). The temperature at which its length is increased by 1 mm is:
When water is heated from $0^\circ$C to $8^\circ$C, its volume
On a temperature scale X, the boiling point of water is 65° X and the freezing point is 15° X. Assume that the X scale is linear. The equivalent temperature corresponding to 95° X on the Fahrenheit scale would be:
A rod is found to be 0.05 cm longer at 40°C than it is at 10°C. The length of the rod at 0°C is (coefficient of linear expansion of the material of the rod = \( 1.5 \times 10^{-5} \, \text{°C}^{-1} \))
A steel tape of 300 cm is graduated at \( 27^\circ \text{C} \). A steel rod measured to be 110 cm at \( 50^\circ \text{C} \) with this tape has actual length (given \( \alpha_{\text{steel}} = 1.2 \times 10^{-5} \, \text{K}^{-1} \)):

A thin rod having a length of \(1 m\) and area of cross-section \(3 \times 10^{-6} m ^2\) is suspended vertically from one end. The rod is cooled from \(210^{\circ} C\) to \(160^{\circ} C\) After cooling, a mass \(M\) is attached at the lower end of the rod such that the length of rod again becomes \(1m\). Young's modulus and coefficient of linear expansion of the rod are \(2 \times 10^{11} N m ^{-2}\) and \(2 \times 10^{-5} K ^{-1}\), respectively. The value of \(M\) is ____ \(kg\). (Take \(g =10 \ m s ^{-2}\))

A hole is drilled in a metal sheet At $27^{\circ} C$, the diameter of hole is $5 cm$ When the sheet is heated to $177^{\circ} C$, the change in the diameter of hole is $d \times 10^{-3} cm$ The value of $d$ will be ___ if coefficient of linear expansion of the metal is $16 \times 10^{-5} { }^{\circ} C$
An iron sphere of diameter $ D $ and mass $ M $ is immersed in hot water, causing its temperature to rise by $ \Delta T $. If $ \alpha $ is the coefficient of linear expansion, the change in surface area of the sphere is:
At what temperature a gold ring of diameter 6.230 cm be heated so that it can be fitted on a wooden bangle of diameter 6.241 cm? Both the diameters have been measured at room temperature (27°C).
(Given: coefficient of linear thermal expansion of gold αL = 1.4 × 10–5 K–1)
Each side of a box made of metal sheet in cubic shape is 'a' at room temperature 'T', the coefficient of linear expansion of the metal sheet is ' $\alpha^{\prime}$. The metal sheet is heated uniformly, by a small temperature $\Delta T ,$ so that its new temperature is $T +\Delta T$. Calculate the increase in the volume of the metal box.
Which of the following curves represent the variation of coefficient of volume expansion of an ideal gas at constant pressure?
The average thermal energy for a mono-atomic gasis : (kBis Boltzmann constant and T, absolute temperature)
Two wire of same material having radius in ratio 2 : 1 and lengths in ratio 1 : 2. If same force is applied on them, then ratio of their change in length will be
If the coefficient of cubical expansion is 'x' times of the coefficient of superficial expansion, then value of 'x' is
A metallic bar is heated from 0 °C to 100 °C. The coefficient of linear expansion is 10-5K-1. What will be the percentage increase in length ?
As shown in the figure, an equilateral triangle $A B C$ is formed by joining three rods of equal lengths and $D$ is the midpoint of $A B$. Coefficient of linear expansion of the material of $A B$ is $\alpha_{1}$ and that of $A C$ and $B C$ is $\alpha_{2}$. If the length $D C$ remains constant for small changes in temperature, then
Unit of Coefficient of thermal conductivity in MKS is
A metre scale made of steel reads accurately at $25^{\circ} C$ . Suppose in an experiment an accuracy of $0.06\, mm$ in $1\,m$ is required, the range of temperature in which the experiment can be performed with this metre scale is (coefficient of linear expansion of steel is $ 11 \times 10^{-6} /^{\circ} \, C$ )