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Two identical rods are connected between two containers. One of them is at `100^(@)C` containing water and another is at `0^(@)C` containing ice. If rods are connected in parallel then the rate of melting of ice is `q_(1)g//s` . If they are connected in series then teh rate is `q_(2)g//s` . The ratio `q_(2)//q_(1)` isA. `1//8`B. `1//4`C. `1//2`D. `4`

Answer» Correct Answer - B
The resultant conductivity of combination of two rods ,
in parallel is, `K_(p) =K_(1) + K_(2) =K + K=2 K`
in secries is, `K_(s) =(K_(1)K_(2))/(K_(1) + K_(2)) = (KxxK)/(K+K) = (K)/(2)`
`q_(1) =((2K) A(100-0))/(x) = (2KAxx100)/(x)`
`q_(2) =((K)/(2)) (A(100-0))/(x) = (KAxx100)/(2x)`
`:. (q_(2))/(q_(1)) = (KAxx100)/(2x)xx(x)/(2KAxx100) =(1)/(4)`


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