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MHT CET 2026 (20 Apr, Shift 1) · Heat Conduction

Heat Conduction question from MHT CET 2026 (20 Apr, Shift 1)

Q7MHT CET 2026 · 20 APR · SHIFT 1Medium

Heat Conduction

Two rods of same length, radius and material transfer a given amount of heat in 't' second when they are joined as shown in fig (1). But when they are joined as shown in fig (2) then they will transfer same heat in same condition in time

Figure

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Answer: (c)

  1. Let each rod have resistance RR. Fig (1) is parallel: R1=R2R_1 = \frac{R}{2}. Fig (2) is series: R2=2RR_2 = 2R.
  2. For the same heat and ΔT\Delta T, time t∝t \propto thermal resistance.
  3. t2=2RR/2 t=4tt_2 = \frac{2R}{R/2}\,t = 4t, so the answer is (c).
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