A solid body X of heat capacity C is kept in an atmosphere whose temperature is 300K. At t=0 temperature of X is 400K. It cools according to Newton's Law of cooling.At time t1 its temperature is found to be 350 K .At this time,the body X is connected to a large box 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 vibration in its temperature rod is small compared to the surface area of X.Find temperature of X at time t=3t1
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