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Two identical rectangular rods of metal are welded as shown in figure `(1)` and `20 J` of heat flows through the rods in `1 min`. How long would it take for `20 J` heat to flow through the rods if they are welded as shown in figure `(2)` |
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Answer» Let `R` be the thermal resistance of each rod. `:. ` In first case `(1)/(R_(1))=(1)/(R)+(1)/(R)` or `R_(1)=(R )/(2)` So the rate of flow of heat in this situation will be `(DeltaQ)/(Deltat)=(DeltaT)/(R_(1))=(100-0)/(R//2)=(20)/(60)` `R=600^(@)C//W` Now for case `(2)` `R_(2)=R+R=600+600=1200^(@)C//W` `:. (DeltaQ)/(Deltat)=(DeltaT)/(R_(2))` `(20)/(t)=(100)/(1200)` `t=240sec`. |
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