A 100 watt bulb working on 200 volt and a 200 watt bulb working on 100 volt have

Options

A. Resistances in the ratio of `4 : 1`
B. Maximum current ratings in the ratio of `1:4`
C. Resistances in the ratio of `2 : 1`
D. Maximum current ratings in the ratio of `1 : 2`

Answer

B

Explanation

`i_(1) = 1/2 A`
`R_(1) = (200 xx 200)/100 = 400 Omega`
`R_(2) = (100 xx 100)/200 = 50 Omega`
`I_(2) = 2A`
`R_(1)/R_(2) = 400/50 = 8, I_(1)/I_(2) rArr 1/4 = 1:4`