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A rod of negligible heat capacity has a ...

A rod of negligible heat capacity has a length of 50 cm, area of cross section `5cm^(2)` and thermal conductivity 500 `W//m^(@)C`. The temperature of one end is maintained at `0^(@)C` and that fo the other end is slowly and linearly varied from `0^(@)C` to `60^(@)C` in 20 min. Assuming no heat loss through the lateral side, the total heat transmitted throught he rod in 20 minutes is

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