Two bodies of specific heats C₁ and C₂ , having the same heat capacities are combined to form a single composite body. The specific heat capacity of the composite body is

Step-by-step solution

Let the masses of the two bodies be m₁ and m₂ . Given that their heat capacities are equal, we have m₁ C₁ = m₂ C₂ = H . The masses can be written as m₁ = H C₁ and m₂ = H C₂ . For the composite body, the total heat capacity is H_ total = H + H = 2H . The total mass of the composite body is M = m₁ + m₂ = H C₁ + H C₂ . The specific heat capacity of the composite body is C = H_ total M . C = 2H H C₁ + H C₂ = 2 1 C₁ + 1 C₂ = 2C₁ C₂ C₁ + C₂ Answer: 2C₁ C₂ C₁ + C₂