A rod of negligible heat capacity has length 40 cm, area of cross-section 1.0 cm^2 and thermal conductivity 100 W/m-°C. The temperature of one end is maintained at 0°C and that of the other end is slowly and linearly varied from (1°C to 60°C in 10 minutes. Assuming no loss of heat through the sides, find the total heat transmitted through the rod in these 10 minutes (in J).ANS IS: 450 joules

Eshan
The temperature of the other end of the rod varies as

Hence the total amount of heat transfered can be found out by integrating both sides with respect tofrom 0s to 600s.
Hence