Three rods of same dimensions have thermal conductivities 3 K ,   2 K and K . They are arranged as…

Three rods of same dimensions have thermal conductivities 3K, 2K and K. They are arranged as shown in the figure below. Then in the steady state the temperature of the junction 'P' is

  1. 2003°C
  2. 1003°C
  3. 75°C
  4. 503°C

Solution

Recall the formula of heat transfer is,

Q=KATL

Q1=Q2+Q33KA100-TL=2KAT-50L+KATL3×100-3T=2T-2×50+T400=6TT=2003°C

Asked in: AP EAMCET 2018 (25 Apr Shift 1)

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