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 lt IV lt I`
B. `II lt III lt IV lt I`
C. `I lt IV lt III lt II`
D. `I lt III lt II lt IV`

Answer

A

Explanation

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