Heat Transfer — Practice Quiz
ICSE · Class 8 · Physics
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Quick Quiz: Heat Transfer
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A copper rod of length 2.5 m is heated through 40°C. Find its increase in length if the coefficient of linear expansion of copper is 17 × 10^-6 per °C.
A brass rod 1.2 m long is heated from 20°C to 70°C. Find its increase in length if the coefficient of linear expansion of brass is 19 × 10^-6 per °C.
An iron bar of length 3 m is heated so that its length increases by 1.08 mm. Find the temperature rise if the coefficient of linear expansion of iron is 12 × 10^-6 per °C.
A copper rod and an iron rod have the same original length and are heated through the same temperature rise. If the iron rod lengthens by 2 mm, find the increase in length of the copper rod.
Sample Questions
A brass plate has area 0.8 m^2 at 0°C. If its coefficient of superficial expansion is 2β for brass based on linear coefficient 19 × 10^-6 per °C, find the increase in area on heating through 50°C.
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1.52 × 10^-3 m^2
For solids, α : β : γ = 1 : 2 : 3, so β = 2α = 2 × 19 × 10^-6 = 38 × 10^-6 per °C. Use A_t - A_0 = A_0 β t. Increase = 0.8 × 38 × 10^-6 × 50 = 1520 × 10^-6 m^2 = 1.52 × 10^-3 m^2.
A steel plate of area 2 m^2 is heated through 30°C. If the coefficient of linear expansion of steel is 13 × 10^-6 per °C, find its increase in area.
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1.56 × 10^-3 m^2
For solids, β = 2α = 2 × 13 × 10^-6 = 26 × 10^-6 per °C. Using A_t - A_0 = A_0 β t, increase = 2 × 26 × 10^-6 × 30 = 1560 × 10^-6 m^2 = 1.56 × 10^-3 m^2.
A solid has volume 0.5 m^3 at 0°C. Its coefficient of linear expansion is 12 × 10^-6 per °C. Find its increase in volume on heating through 80°C.
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1.44 × 10^-3 m^3
For solids, γ = 3α = 3 × 12 × 10^-6 = 36 × 10^-6 per °C. Use V_t - V_0 = V_0 γ t. Increase = 0.5 × 36 × 10^-6 × 80 = 1440 × 10^-6 m^3 = 1.44 × 10^-3 m^3.
A liquid has volume 2.5 L at 0°C and coefficient of cubical expansion 1.8 × 10^-4 per °C. Find the increase in volume when heated through 20°C.
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9.0 × 10^-3 L
Use V_t - V_0 = V_0 γ t. Increase = 2.5 × 1.8 × 10^-4 × 20 = 90 × 10^-4 L = 9.0 × 10^-3 L.
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