COMEDK · Physics · 12. Thermal Properties of Matter
Two bodies of specific heats \(C_1\) and \(C_2\), having the same heat capacities are combined to form a single composite body. The specific heat capacity of the composite body is
- A \(\dfrac{2C_1 C_2}{C_1 + C_2}\)
- B \(C_1 + C_2\)
- C \(C_1 - C_2\)
- D \(\dfrac{2C_2}{C_1 + C_2}\)
Answer & Solution
Correct Answer
(A) \(\dfrac{2C_1 C_2}{C_1 + C_2}\)
Step-by-step Solution
Detailed explanation
Let the masses of the two bodies be \(m_1\) and \(m_2\). Given that their heat capacities are equal, we have \(m_1 C_1 = m_2 C_2 = H\). The masses can be written as \(m_1 = \dfrac{H}{C_1}\) and \(m_2 = \dfrac{H}{C_2}\). For the composite body, the total heat capacity is…
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