If two wires having resistance R and 2 R . Both joined in series and in parallel then ratio of heat generated in this situation, applying the same voltage,

Options

A. `2:1`
B. `1:2`
C. `2:9`
D. `9:2`

Answer

C

Explanation

`R_(1)=R+2R =3R`
`R_(1)= (R xx 2R)/(R+2R) =(2R^(2))/(3R)=(2)/(3)R`
`(R_(2))/(R_(1)) =(V^(2))/(R_(2)) xx (R_(1))/(V^(2)) rArr (2R)/(3xx 3R) =2:9`