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JEE Main 202224 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
24 June
Shift
Morning Shift
Subject
Physics
Chapter
Thermal Properties of Matter

JEE Main 2022 · 24 June · Morning Shift · Physics · Thermal Properties of Matter

Two metallic blocks M _ 1 and M _ 2 of same area of cross-section...

Two metallic blocks M1{M}_{1} and M2{M}_{2} of same area of cross-section are connected to each other (as shown in figure). If the thermal conductivity of M2{M}_{2} is KK then the thermal conductivity of M1{M}_{1} will be : [Assume steady state heat conduction]

Two metallic blocks M _ 1 and M _ 2 of same area of cross-section are connected to each other (as shown in figure). If

Options

  1. A10K10K
  2. B8K8K
  3. C12.5K12 . 5K
  4. D2K2K

Correct answer

B. 8K8K

Step-by-step solution

Let thermal conductivity of M1{M}_{1} be K′K '.

Using heat current relation for steady state conduction,

K′A(100−80)16=KA(80−0)8\dfrac{K ' A\left(100 - 80\right)}{16} = \dfrac{KA\left(80 - 0\right)}{8}

⇒K′×2016=K×808⇒K′=8K⇒ \dfrac{K ' \times 20}{16} = \dfrac{K \times 80}{8} ⇒ K ' = 8K

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