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A solid body X of heat capacity C is kep...

A solid body X of heat capacity C is kept in an atmosphere whose temperature is `T_A=300K`. At time `t=0` the temperature of X is `T_0=400K`. It cools according to Newton's law of cooling. At time `t_1`, its temperature is found to be 350K. At this time `(t_1)`, the body X is connected to a large box Y at atmospheric temperature is `T_4`, through a conducting rod of length L, cross-sectional area A and thermal conductivity K. The heat capacity Y is so large that any variation in its temperature may be neglected. The cross-sectional area A of hte connecting rod is small compared to the surface area of X. Find the temperature of X at time `t=3t_1.`

Text Solution

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The correct Answer is:
`T=300+50"exp"[-(kA)/(LC)+(log2)/(t_(1))2t_(1)]`
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