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A rod of negligible heat capacity has le...

A rod of negligible heat capacity has length `40 cm`, area of cross-section `1.0 cm^2` and thermal conductivity `100 W m^(-1)overset(circ) \ C^(-1)`. The temperature of one end is maintained at `0overset(o) \ C` and that of the other end is slowly and linearly varied 'from `0^(circ) C` to `60^(circ) C` in `10 min`. Assuming no loss of heat through the sides', find the total heat transmitted (in J) through the rod in these `10 min`.

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