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

Q: 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

c 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)

Question

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

ABoth statement $I$ and statement $II$ are correct
BBoth statement $I$ and statement $II$ are incorrect
CStatement $I$ is correct but statement $II$ is incorrect.
DStatement $I$ is incorrect but statement $II$ is correct.

JEE MAIN 2022, Medium

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