1.

Two conducting rods when connected between two points at constant but different temperatures separately, the rate of heat flow through them is `q_1 and q_2`.A. When they are connected in series, the net rate of heat flow is `q_1 + q_2`B. When they are connected in series, the net rate of heat flow is `((q_1q_2)/(q_1+q_2))`C. When they are connected in parallel, the net rate of heat flow is `q_1 + q_2`D. When they are connected in parallel, the net rate of heat flow is `((q_1q_2)/(q_1+q_2))`

Answer» Correct Answer - B::C
`q_1 = (TD)/R_1`
`R_1 = (TD)/q_1`
Similarly, `R_2 = (TD)/q_2`
In series,
`q_s = (TD)/(R_1+R_2)= (TD)/(((TD)/q_1) + ((TD)/q_2))`
`=(q_1q_2)/(q_1+q_2)`
In parallel, `q_p = (TD)/R_(net) = (TD) (1/R_(net))`
`=TD (1/R_1 + 1/R_2)`
`=TD ( q_1/(TD) + q_2/(TD)) = q_1 + q_2` .


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