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Two elastic rods are joined between fixed supports as shown in diagram. Condition for no change in the lengths of individual rods with the increase of temperature ( α 1 ,  α 2   = linear expansion coefficient, A1, A2 = area of rods, y1, y2 = Young's modulus) is

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Important Questions on Thermal Properties of Matter

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 11 - Thermal Properties of Matter>Exercise>Q 4
At 300oC, the hole in a steel plate has a diameter of 0.99970 cm. A cylinder of diameter exactly 1 cm at 30oC is to be slide into the hole. To what temperature the plate must be heated. (Given: αsteel=1.1×10-5 oC-1 )
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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 11 - Thermal Properties of Matter>Exercise>Q 5
A rod is acted by two equal forces as shown in the figure. The coefficient of thermal expansion of the rod is α and area of cross section is A . When the temperature the rod is increased by ΔT , the length of the rod does not change. The young's modulus Y will be.

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Agniveer Vayu
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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 11 - Thermal Properties of Matter>Exercise>Q 6
A copper rod of length l0 at 0° C is placed on a smooth surface. Now the rod is heated up to 100° C. Find the longitudinal strain developed. (Let, α= coefficient of linear expansion)
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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 11 - Thermal Properties of Matter>Exercise>Q 7
How much should the temperature of a brass rod be increased so as to increase its length by 1% ? (Given α for brass is 0.00002oC-1 ).
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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 11 - Thermal Properties of Matter>Exercise>Q 1
Water falls from a height of 500 m. What is the rise in temperature of water at the bottom if whole energy is used up in heating water?
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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 11 - Thermal Properties of Matter>Exercise>Q 2
Two moles of oxygen is mixed with eight moles of helium. The effective specific heat of the mixture at constant volume is
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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 11 - Thermal Properties of Matter>Exercise>Q 3
200 g water is heated from 40 oC to 60 oC . Ignoring the slight expansion of water, the change in its internal energy is close to (Given specific heat of water =4184 J kg-1 K-1):
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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 11 - Thermal Properties of Matter>Exercise>Q 4
The thermal capacities of two bodies are in the ratio 1:4. If the rates of loss of heat are equal for the two bodies under identical conditions of surroundings, then, the ratio of rate of fall of temperature of the two bodies is,