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One end of a `2.35m` long and `2.0cm` radius aluminium rod `(K=235W.m^(-1)K^(-1))` is held at `20^(@)C`. The other end of the rod is in contact with a block of ice at its melting point. The rate in `kg.s^(-1)` at which ice melts is [Take latent heat of fusion for ice as `(10)/(3)xx10^(5)J.kg^(-1)`]A. `48pixx10^(-6)`B. `24pixx10^(-6)`C. `2.4pixx10^(-6)`D. `4.8pixx10^(-6)` |
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Answer» `l=2.35m`, `r=2cm` `K=235`, `T=20^(@)C`, `DeltaT=20^(@)C` `(dH)/(dt)=((dm)/(dt))L_(f)` `((dm)/(dt))=((dH)/(dt))_(L_(f))^(bot)=(KA)/(l)(DeltaT)(1)/(L_(f))` `((dm)/(dt))=(235xxpi(2xx10^(-2))^(2)xx20)/(2.35xx(10)/(3)xx105)` `=(100pixx4xx10^(-4)xx20)/(10xx105)xx3` `=2.4pixx10^(-6)ks//sec` |
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