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A metallic rod of cross-sectional area 2...

A metallic rod of cross-sectional area 20 `cm^(2)`, with the lateral surface insulated to prevent heat loss, has one end immersed in boiling water and the other in ice water mixture. The heat conducted through the rod melts the ice at the rate of 1 gm for every 84 sec. The thermal conductivity of the rod is `160 Wm^(-1)K^(-1)`. Latent heat of ice=80 cal/gm, 1 ca=4.2 joule. What is the length (in m) of the rod?

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