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MHT CET 202621 AprilMorning Shift
Exam
MHT CET
Year
2026
Date
21 April
Shift
Morning Shift
Subject
Physics
Chapter
Thermal Properties of Matter

MHT CET 2026 · 21 April · Morning Shift · Physics · Thermal Properties of Matter

The thermal conduction rate ' P_ cond ' of a slab is given by P_...

The thermal conduction rate 'PcondP_{cond}' of a slab is given by Pcond=kA(T1−T2)xP_{cond} = \dfrac{kA(T_1 - T_2)}{x}, where ' xx ' is the thickness of the slab and 'A' is the area. The term that represents thermal resistance ' RTR_T'

Options

  1. AkAx\dfrac{kA}{x}
  2. BxkA\dfrac{x}{kA}
  3. Ck(T1−T2)x\dfrac{k(T_1-T_2)}{x}
  4. Dxk(T1−T2)\dfrac{x}{k(T_1-T_2)}

Correct answer

B. xkA\dfrac{x}{kA}

Step-by-step solution

The rate of heat flow (thermal conduction rate) is given by Pcond=kA(T1−T2)xP_{cond} = \dfrac{kA(T_1 - T_2)}{x}.

This can be rewritten as Pcond=T1−T2xkAP_{cond} = \dfrac{T_1 - T_2}{\dfrac{x}{kA}}.

Comparing this with the electrical analogy I=ΔVRI = \dfrac{\Delta V}{R}, where II is the current, ΔV\Delta V is the potential difference, and RR is the electrical resistance.

Here, PcondP_{cond} is analogous to current II, and the temperature difference (T1−T2)(T_1 - T_2) is analogous to potential difference ΔV\Delta V.

Thus, the thermal resistance RTR_T is analogous to electrical resistance RR.

Therefore, RT=xkAR_T = \dfrac{x}{kA}.

Answer: xkA\dfrac{x}{kA}
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