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Question

Physics Question on thermal properties of matter

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

A

4Q1

B

2Q1

C

Q1/4

D

Q1/2

Answer

2Q1

Explanation

Solution

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