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 $2R$ and $3R$ are connected in parallel in a electric circuit. The value of thermal energy developed in $3R$ and $2R$ will be in the ratio $3:2$.
In the light of the above statements, choose the most appropriate answer from the options given below

• A. Both statement I and statement II are correct
• B. Both statement I and statement II are incorrect
• C. Statement I is correct but statement II is incorrect
• D. Statement I is incorrect but statement II is correct.

Answer 1

Answer: (C)

Statement $1-R=80\Omega$
$R_1=R_2=R_3=R_4=20\Omega$
In parallel $R_{eq}=\frac{20}{4}=5\Omega$
Statement 2 -
$R_1=3R$

$P_{th}=\frac{v^2}{R}$
$\frac{P_1}{P_2}=\left(\frac{R_2}{R_1}\right)=\frac{2}{3}$ (where $P$ is power)