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

In series
`R_(eq) = 3R, H_(S) = V^(2)/(3R)`
In parallel,
`R_(eq) =(2R)/3, H_(P) = V^(2)/(2R//3)`
`H_(S)/H_(P) = 1/(3R) xx (2R)/3 = 2/9`