The three resistance of equal value are arranged in the different combination shown below. Arrange them in increasing order of power dissipation.
(I) (II)
(IV)

Options

A. III lt II ltIV lt I
B. II lt III lt IV lt I
C. I lt IV lt III lt II
D. I lt III lt II ltIV

Answer

C

Explanation

`P_(1) = (V^2)/(3R) , P_(II) = (V^2)/(R//3), P_(IV) = (V^2)/(3R//2)`
`I lt IV lt II lt III`.