If two bodies are in thermal equilibrium in one frame, will they be in thermal equilibrium in all frames?
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Heat and Temperature question types
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48
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2 Marks Questions
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15 Q→Sample Questions
Heat and Temperature questions
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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°C. Find the longitudinal strain developed in the rod if the temperature rises to 50°C. Coefficient of linear expansion of steel = 1.2 × 10-5 °C-1.
A spherical shell is heated. The volume change according to the equation $\text{V}_\theta=\text{V}_\theta(1+\gamma\theta)$. Does the volume refer to the volume enclosed by the shell or the volume of the material making up the shell?
View full solution →A steel rod of length 1m rests on a smooth horizontal base. If it is heated from 0°C to 100°C, what is the longitudinal strain developed?
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.
If mercury and glass had equal coefficient of volume expansion, could we make a mercury thermometer in a glass tube?
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.
Is it possible for two bodies to be in thermal equilibrium if they are not in contact?
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 × 10-6 °C-1 and 23 × 10-6 °C-1 respectively.
Does the temperature of a body depend on the frame from which it is observed?
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.
View full solution →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.
Why do marine animals live deep inside a lake when the surface of the lake freezes?
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.
Two metre scales, one of steel and the other of aluminium, agree at 20°C. Calculate the ratio aluminium-centimetre/ steel-centimetre at:
View full solution →- 0°C,
- 40°C
- 100C. $\alpha$ for steel = 1.1 × 10-5 °C-1 and for aluminium= 2.3 × 10-5 °C-1.
A metre scale is made up of steel and measures correct length at 16°C. What will be the percentage error if this scale is used:
- On a summer day when the temperature is 46°C.
- On a winter day when the temperature is 6°C? Coefficient of linear expansion of steel = 11 × 10-6°C-1.
An aluminium plate fixed in a horizontal position has a hole of diameter 2.000cm. A steel sphere of diameter 2.005cm rests on this hole. All the lengths refer to a temperature of 10°C. The temperature of the entire system is slowly increased. At what temperature willl the ball fall down? Coefficient of linear expansion of aluminium is 23 × 10-6 °C-1 and that of steel is 11 × 10-6 °C-1.
Two steel rods and an aluminium rod of equal length l0 and equal cross section are joined rigidly at their ends as shown in the figure below. All the rods are in a state of zero tension at 0°C. Find the length of the system when the temperature is raised to $\theta$. Coefficient of linear expanaion of aluminium and steel are $\alpha_\text{a}$ and $\alpha_\text{s}$respectively. Young's modulus of aluminium is Ya and of steel is Ys.
View full solution →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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