Three copper blocks of masses M 1 , M 2 and M 3 kg, respectively are brought into thermal contact till they reach equilibrium. Before contact, they were at temperatures T 1 , T 2 , T 3 (T 1 > T 2 > T 3 ). Assuming there is no heat loss to the surroundings, the equilibrium temperature T is : (s is specific heat of copper)

Three copper blocks of masses M 1 , M 2 and M 3 kg, respectively are brought into thermal…

Physics · JEE Main · NTA Exams — Thermodynamics

Three copper blocks of masses M₁, M₂ and M₃ kg, respectively are brought into thermal contact till they reach equilibrium. Before contact, they were at temperatures T₁, T₂, T₃ (T₁ > T₂ > T₃). Assuming there is no heat loss to the surroundings, the equilibrium temperature T is :
(s is specific heat of copper)

\(\mathrm{T}=\frac{\mathrm{T}_{1}+\mathrm{T}_{2}+\mathrm{T}_{3}}{3}\)
\(\mathrm{T}=\frac{\mathrm{M}_{1} \mathrm{~T}_{1}+\mathrm{M}_{2} \mathrm{~T}_{2}+\mathrm{M}_{3} \mathrm{~T}_{3}}{\mathrm{M}_{1}+\mathrm{M}_{2}+\mathrm{M}_{3}}\)
\(\mathrm{T}=\frac{\mathrm{M}_{1} \mathrm{~T}_{1}+\mathrm{M}_{2} \mathrm{~T}_{2}+\mathrm{M}_{3} \mathrm{~T}_{3}}{3\left(\mathrm{M}_{1}+\mathrm{M}_{2}+\mathrm{M}_{3}\right)}\)
\(\mathrm{T}=\frac{\mathrm{M}_{1} \mathrm{~T}_{1} \mathrm{~s}+\mathrm{M}_{2} \mathrm{~T}_{2} \mathrm{~s}+\mathrm{M}_{3} \mathrm{~T}_{3} \mathrm{~s}}{\mathrm{M}_{1}+\mathrm{M}_{2}+\mathrm{M}_{3}}\)

Answer

(B) T = M _ 1 ~T _ 1 + M _ 2 ~T _ 2 + M _ 3 ~T _ 3 M _ 1 + M _ 2 + M _ 3

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Three copper blocks of masses M 1 , M 2 and M 3 kg, respectively are brought into thermal…

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