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PhysicsNEET 2025Heat transfer: conduction, convection, radiation

Thermal Properties of Matter

Three identical heat-conducting rods are connected in series as shown in the figure. The rods on the sides have thermal conductivity 2K2K while that in the middle has thermal conductivity KK. The left end of the combination is maintained at temperature 3T3T and the right end at TT. The rods are thermally insulated from outside. In steady state, the temperature at the left junction is T1T_1 and that at the right junction is T2T_2. The ratio T1/T2T_1/T_2 is:

Question 19 as printed in the NEET 2025 booklet

  1. A.32\dfrac{3}{2}
  2. B.43\dfrac{4}{3}
  3. C.53\dfrac{5}{3}✓
  4. D.54\dfrac{5}{4}

Solution

In series the heat current is the same, so the temperature drop across each rod is ∝1K\propto \frac{1}{K}: drops in the ratio 1:2:11 : 2 : 1 across a total drop of 2T2T, i.e. 0.5T0.5T, TT, 0.5T0.5T. Hence T1=2.5TT_1 = 2.5T, T2=1.5TT_2 = 1.5T and T1T2=53\frac{T_1}{T_2} = \frac{5}{3}.

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