$(i) R = r$ $(ii)$ Power in $R$ is $\frac{{{E^2}}}{{4R}}$
$(iii)$ Input power $\frac{{{E^2}}}{{2R}}$ $(iv)$Efficiency is $50\%$

Statement $I$ : A uniform wire of resistance $80\,\Omega$ is cut into four equal parts. These parts are now connected in parallel. The equivalent resistance of the combination will be $5\,\Omega$.
Statement $II :$ Two resistance $2\,R$ and $3\,R$ are connected in parallel in a electric circuit. The value of thermal energy developed in $3\,R$ and $2\,R$ will be in the ratio $3:2.$
In the light of the above statements, choose the most appropriate answer from the options given below
