Two conducting wires of the same material and of equal. lengths and equal diameters are first connected in series and then parallel in a circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be -

Options

A. `1:2`
B. `2:1`
C. `1:4`
D. `4:1`

Answer

C

Explanation

`R_(s)=R_(1)+R_(2)=R+R=2R`
`1/R_(p)=1/R_(1)+1/R_(2)=1/R+1/R=2/R`
`R_(p)=R//2`
`H_(1)/H_(2)=(V^(2)R_(p))/(R_(s)V^(2))=R_(p)/R_(s)=R/(2xx2R)=1/4=1:4`.