Question:

A cylindrical rod having temperature T1 and T2 at its end. The rate of flow of heat Q1 cal/sec. If all the linear dimension are doubled keeping temperature remain const. then rate of flow of heat Q2 will be

Updated On: May 5, 2024
  • 4Q1
  • 2Q1
  • Q1/4
  • Q1/2
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The Correct Option is B

Solution and Explanation

The correct option is(B) 2Q1 Heat flow rate =KA(T1 T2)/L=Q when linear dimensions are doubled A1 ∝ r1^2, L1 = L, A2 ∝ 4r1^2, L1 = 2L1 so Q2 = 2Q1
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Concepts Used:

Thermal Expansion

Thermal expansion is the tendency of matter to change its shape, area, and volume in response to a change in temperature. Temperature is a monotonic function of the average molecular kinetic energy of a substance.

The expansion of the solid material is taken to be the linear expansion coefficient, as the expansion takes place in terms of height, thickness and length. The gaseous and liquid expansion takes the volume expansion coefficient. Normally, if the material is fluid, we can explain the changes in terms of volume change. 

The bonding force among the molecules and atoms differs from material to material. These characteristics of the compounds and elements are known as the expansion coefficient.

thermal expansion