Three bodies of the same material and having masses m,m and 3m are at temperatures `40^@C, 50^@C` and `60^@C` respectively. If the bodies are brought in thermal contact, the final temperature will be

Options

A. `45^@`
B. `54^@`
C. `52^@`
D. `48^@`

Answer

B

Explanation

`T = (m_1c_1T_1 + m_2c_2T_2 + m_3c_3T_3)/(m_1c_1 + m_2c_2 + m_3c_3)`
`c_1 =c_2 = c_3 = c`
`rArr T = (mxx 40 +m xx 50 + 3m xx 60)/(m+m+3m)`
`= (40 + 50 + 180)/(5) = (270)/(5)= 54^@ C`