Six similar bulbs are connected as shown in the figure with a DC source of emf E, and zero intermal resistance.
The ratio of power consumption by the bulbs when (i) all are glowing and (ii) in the situation when two from section A and one from section B are glowing, will be:

Options

A. `2:1`
B. `4:9`
C. `9:4`
D. `1:2`

Answer

C

Explanation

`(P_(eq))=(i//3)^(2)xx3R+(i//3)^(2)xx3R=(2)/(3)i^(2)R`

(ii) `P_(eq)2=(i//2)^(2)xxR+(i//2)^(2)+i^(2)R=(2)/(3)i^(2)R`
`(P_(eq_(1)))/(P_(eq_(2)))=(2//3i^(2)R)/(3//2i^(2)R)=(4)/(9)`