Physics · Heat Transfer

JEE Main 2026 — 22 January, Morning Shift — Question 36

Rods x and y of equal dimensions but of different materials are joined as shown in figure. Temperatures of end points AA and FF are maintained at 100∘C100^{\circ} \mathrm{C} and 40∘C40^{\circ} \mathrm{C} respectively. Given the thermal conductivity of rod x is three times of that of rod y , the temperature at junction points BB and EE are (close to) :

Question figure
  1. Option A:

    89∘C89^{\circ} \mathrm{C} and 73∘C73^{\circ} \mathrm{C} respectively

    Correct
  2. Option B:

    80∘C80^{\circ} \mathrm{C} and 60∘C60^{\circ} \mathrm{C} respectively

  3. Option C:

    80∘C80^{\circ} \mathrm{C} and 70∘C70^{\circ} \mathrm{C} respectively

  4. Option D:

    60∘C60^{\circ} \mathrm{C} and 45∘C45^{\circ} \mathrm{C} respectively

Answer: A

Step-by-step solution

Let [R=ℓ3KA]\left[\mathrm{R}=\frac{\ell}{3 \mathrm{KA}}\right] TA=100∙11R/2⟶ TF=40\mathrm{T}_{\mathrm{A}}=100 \bullet \frac{11 \mathrm{R} / 2}{\longrightarrow} \mathrm{~T}_{\mathrm{F}}=40 [H=100−4011R2]…\begin{gathered} \left[\mathrm{H}=\frac{100-40}{\frac{11 \mathrm{R}}{2}}\right] \ldots \end{gathered} H=100−TBR……\begin{gathered} H=\frac{100-T_{B}}{R} \ldots \ldots \end{gathered} H=TE−403R….\begin{gathered} H=\frac{T_{E}-40}{3 R} \ldots . \end{gathered} using (1) and (2) 120=1100−11 TA TB=89∘C\begin{aligned} & 120=1100-11 \mathrm{~T}_{\mathrm{A}} & \mathrm{~T}_{\mathrm{B}}=89^{\circ} \mathrm{C} \end{aligned} using (1) and (3) TE=73∘C\mathrm{T}_{\mathrm{E}}=73^{\circ} \mathrm{C}

figure

Solution figure

Answer key and solution verified before publishing.

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Exam
JEE Main 2026
Subject
Physics
Chapter
Heat Transfer
Topic
Advanced Problems on Conduction
Rods x and y of equal dimensions but of different materials are… | JEE Main 2026 PYQ with Solution · DhiX AI