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NEET 2026
Exam
NEET
Year
2026
Subject
Physics
Chapter
Chapter

NEET 2026 · Physics · Chapter

Three composite rectangular slabs A, B, and C of equal thickness...

Three composite rectangular slabs A, B, and C of equal thickness and equal cross-sectional area are joined end-to-end
Three composite rectangular slabs A, B, and C of equal thickness and equal cross-sectional area are joined end-to-end in series. Their thermal conductivities are 3K3K, 2K2K, and KK respectively. The free end of slab A is maintained at 66∘C66^\circ\text{C} and the free end of slab C is maintained at 0∘C0^\circ\text{C}. Assuming steady-state heat conduction and no heat loss from the lateral surfaces, what is the temperature difference across the middle slab B?

Options

  1. A18∘C18^\circ\text{C}
  2. B22∘C22^\circ\text{C}
  3. C36∘C36^\circ\text{C}
  4. D54∘C54^\circ\text{C}

Correct answer

A. 18∘C18^\circ\text{C}

Step-by-step solution

The thermal resistance of a slab is given by R=LkAR = \dfrac{L}{kA}.

For the three slabs A, B, and C having equal thickness LL and equal cross-sectional area AA, the thermal resistances are:
RA=L3KAR_A = \dfrac{L}{3KA}
RB=L2KAR_B = \dfrac{L}{2KA}
RC=LKAR_C = \dfrac{L}{KA}

Since the slabs are connected in series, the rate of heat flow HH is the same through all of them. The temperature difference across any slab is proportional to its thermal resistance (ΔT=HR\Delta T = HR).

The ratio of temperature differences across the slabs is:
ΔTA:ΔTB:ΔTC=RA:RB:RC=13:12:1=2:3:6\Delta T_A : \Delta T_B : \Delta T_C = R_A : R_B : R_C = \dfrac{1}{3} : \dfrac{1}{2} : 1 = 2 : 3 : 6

The total temperature difference across the composite slab is:
ΔTtotal=66∘C−0∘C=66∘C\Delta T_{total} = 66^\circ\text{C} - 0^\circ\text{C} = 66^\circ\text{C}

The temperature difference across the middle slab B is:
ΔTB=32+3+6×ΔTtotal=311×66∘C=18∘C\Delta T_B = \dfrac{3}{2 + 3 + 6} \times \Delta T_{total} = \dfrac{3}{11} \times 66^\circ\text{C} = 18^\circ\text{C}

Answer: 18∘C18^\circ\text{C}
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