Figure shows three resistor configurations $\mathrm{R} 1, \mathrm{R} 2$ and $\mathrm{R} 3$ connected to $3 \mathrm{~V}$ battery. If the power dissipated by the configuration $\mathrm{R} 1, \mathrm{R} 2$ and $\mathrm{R} 3$ is $\mathrm{P} 1, \mathrm{P} 2$ and $\mathrm{P} 3$, respectively, then

Figure:

IIT 2008, Diffcult
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$ \mathrm{P}=\frac{\mathrm{V}^2}{\mathrm{R}} $

$ \mathrm{R}_1=1 \Omega, \mathrm{R}_2=1 / 2 \Omega, \mathrm{R}_3=2 \Omega $

$ \therefore \quad \mathrm{P}_2>\mathrm{P}_1>\mathrm{P}_3$

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