A solid body X of heat capacity C is kept in an atmosphere whose temperature is . At time t = 0, the temperature of X is . It cools according to Newton’s law of cooling. At time its temperature is found to be 350 K. At this time () the body X is connected to a large body Y at atmospheric temperature through a conducting rod of length L, cross-sectional area A and thermal conductivity K. The heat capacity of Y is so large that any variation in its temperature may be neglected. The cross-sectional area A of the connecting rod is small compared to the surface area of X. Find the temperature of X at time .
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