Two bulbs consume same power when operated at "200V and "300V" respectively.When the bulbs are connected in series across a D.C source of "500V" then

Options

A. Ratio of potential difference across them is `3//2`
B. Ratio of potential difference across them is `9//4`
C. Ratio of power consumed across them is `4//9`
D. Ratio of power consumed across them is `2//3`

Answer

C

Explanation

`P = V^(2)/R rArr P prop V^(2), R_(1)/R_(2) =(200/300)^(2) = 4/9`
For series connection.
`P_(1)/P_(2) = V_(1)/V_(2) = R_(1)/R_(2), therefore P_(1)/P_(2) = 4/9`