A heater coil is cut into two parts of equal length and one of them is used in the leader. The ratio of the heat produced by this half coil to that by the original coil is

Options

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

Answer

A

Explanation

(a) `P = (V^(2))/(R ) implies P prop (1)/(R )` and `R = prop l`
`:. P prop (1)/(l) implies (P_(1))/(P_(2)) = (l_(1))/(l_(2)) = (2)/(1)`