1.

Two bodies at different temperatures T_1 and T_2 , if brought in thermal contact do not necessarily settle to the mean temperature (T_1 + T_2)//2Explain.

Answer»

Solution :Heat flows from higher temperature to LOWER temperature until the temperature BECOME equal.
Two BODIES
`m_1 = "mass of 'A'"T_1""T_2m_2` = mass of 'B'
`c_1` = specific heat of A `"" c_2` = Sepecific heat of B
Let `T_1 gt T_2` Heat will be lost by ‘A’ and gained by ‘B’ ACCORDING to principle of caloriemetry,
Heat lost = Heat gained
Let their common temperature attained be ‘T’,
`m_1c_1(T_1-T)=m_2c_2(T-T_2)`
`m_1c_1T_1-m_1c_1T = m_2c_2T-m_2c_2T_2`
`m_1c_1T_1+m_1c_1T_2 = (m_1c_1+m_2c_2)T`
`T = (m_1c_1T_1+m_2c_2T_2)/((m_1c_1+m_2c_2))`
It is possible only,
If `m_1=m_2=m,C_1=C_2=C,`
`T=(T_1+T_2)/2`


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