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MHT CET202122 Sep 2021Morning ShiftPhysicsThermal Properties of MatterActual

A cylindrical rod is having temperatures ₁ and ₂ at its ends. The rate of heat flow is ' Q ' J s ⁻¹ . All the linear dimensions of the rod are doubled by keeping the temperatures constant. What is the new rate of flow of heat?

Options

  1. AQ 2
  2. BQ 4
  3. C2 Q
  4. D3 Q 2

Correct answer

C. 2 Q

Step-by-step solution

Q = kA If the radius of the cylindrical rod is doubled, then its area of cross-section will become four times. aligned & A ₂=4 ~A ₁ & Also, ₂=2 ₁ & Q ^ Q = A ₂ ~A ₁ d ₁ ~d ₂ =4 1 2 =2 & Q ^ =2 Q aligned

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