1.

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 isA. 18 kJB. 8 kJC. 27 kJD. 4.5 kJ

Answer» Correct Answer - A
`T=(t)/(20) .^(@)C` where t is time is seconds
`(d theta)/(dt)=(kA(T-0))/(l)`
`DeltaQ=intdQ=(kA)/(l)int(t)/(20)dt=18000J`.


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