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Two bodies of specific heat capacities S 1 and S 2 have the same heat capacities. They are combined to form a single composite body. The specific heat capacity of the composite body is

Options

  1. AS 1 + S 2
  2. BS 1 + S 2 2
  3. C2 S 1 S 2 S 1 + S 2
  4. D1 S 1 + 1 S 2

Correct answer

C. 2 S 1 S 2 S 1 + S 2

Step-by-step solution

Given, m 1 S 1 = m 2 S 2 m 1 S 1 + m 2 S 2 = m 1 + m 2 S S = m 1 S 1 + m 2 S 2 m 1 + m 2 = 2 m 1 S 1 m 1 + m 2                 ∴ m 1 S 1 = m 2 S 2 = 2 m 1 S 1 m 1 + m 1 S 1 S 2 = 2 S 1 S 2 S 1 + S 2

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