Figure shows three resistor configurations `R_(1),R_(2)` and `R_(3)` connected to `3V` battery. If the power dissipated by the configurations `R_(1),R_(2)` and `R_(3)` is `P_(1),P_(2)` and `P_(3)` respectively, then

Options

A. `P_(1)gtP_(2)gtP_(3)`
B. `P_(1)gtP_(3)gtP_(2)`
C. `P_(2)gtP_(1)gtP_(3)`
D. `P_(3)gtP_(2)gtP_(1)`

Answer

C

Explanation

Applying
`P=(V^(2))/(R),R_(1)=1Omega,R_(2)=0.5Omega`
and `R_(1)=((3)^(2))/(1)=9Omega`
`thereforeP_(1)=((3)^(2))/(2)=18W`
`P_(2)=((3)^(2))/(1)=4.5W`
`thereforeP_(2)gtP_(1)gtP_(3)`