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The length 'd' and temperature difference 'ΔT' across a rod are constant. If cross-sectional area of the rod is increased, the rate of heat conduction will _______________.
1. increase
2. decrease
3. remain constant
4. may increase or decrease

1 Answer

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Best answer
Correct Answer - Option 1 : increase

CONCEPT:

  • Heat is a form of energy that flows from a relatively warmer object to a relatively cooler object.

The rate of Heat transfer is given by:

\( {Δ Q \over Δ t} = {KAΔ T \over d}\)

where \( {Δ Q \over Δ t} \) is the rate of heat transfer, K is the thermal conductivity of the material, A is the cross-section area of the rod, ΔT is the difference in temperature at both ends of the rod, and d is the length of the rod.

EXPLANATION:

Given that:

Temperature Difference and length are constant.

  • Thermal conductivity is the property of material so constant

The rate of heat transfer \( {Δ Q \over Δ t}\)

\( {Δ Q \over Δ t} = {KAΔ T \over d}\)

Since K, ΔT, d are cont.

So \( {Δ Q \over Δ t} \propto {A }\)

  • Hence If the cross-sectional area of the rod is increased, the rate of heat conduction will also increase.
  • So the correct answer is option 1.

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