1.

Three rods `A,B` and `C` have the same dimensions Their conductivities are `K_(A)` K and `K_(C)` respectively `A` and `B` are placed end to end with their free ends kept at certain temperature difference `C` is placed separately with its ends kept at same temperature difference The two arrangements conduct heat at the same rate `K_(c)` must be equal to .A. `K_(A)+K_(B)`B. `(K_(A)+K_(B))/(K_(A)K_(B))`C. `(1)/(2)(K_(A)+K_(B))`D. `(K_(A)+K_(B))/(K_(A)K_(B))`

Answer» Correct Answer - D
When `A` and `B` are in series
`(l_(1)+l_(2))/(K_(eff))=(l_(1))/(K_(1))+(l_(2))/(K_(2))rArrK_(eff)=(2K_(A)K_(B))/(K_(A)+K_(B))`
`(Q)/(t)=((2K_(A)K_(B))/(K_(A)+K_(B)))A(Deltatheta)....(i)`
For rod `C (Q)/(t) = (K_(C)A(Deltatheta))/(t)...(ii)`
From (i) and (ii) we get value of `K_(C)` .


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