A wire when connected to 220 V mains supply has power dissipation `P_1`. Now the wire is cut into two equal pieces which are connected in parallel to the same supply. Power dissipation in this case is `P_2`. Then `P_2: P_1` is

Options

A. 1
B. 4
C. 2
D. 3

Answer

B

Explanation

`P_(1) = (220)^(2)/R_(1), R_(2) = R/4`
`P_(2) = (220)^(2)/(R//4), therefore P_(2)/P_(1) = 4`