Given below are two statements:
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
JEE MAIN 2022, Medium
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Statement $1- R =80\,\Omega$
$R _{1}= R _{2}= R _{3}= R _{4}=20\,\Omega$
Statement $2-$
$P _{ th }=\frac{ v ^{2}}{ R }$
$\frac{P_{1}}{P_{2}}=\left(\frac{R_{2}}{R_{1}}\right)=\frac{2}{3}$ (where $P$ is power)
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