1. Tardigrade
  2. Question
  3. Physics
  4. Given below are two statements: Statement I: A uniform wire of resistance 80 Ω is cut into four equal parts. These parts are now connected in parallel. The equivalent resistance of the combination will be 5 Ω. 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

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

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

JEE MainJEE Main 2022Current Electricity

Solution:

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 -
$R _1=3 R$
image
$P_{t h}=\frac{v^2}{R}$
$\frac{P_1}{P_2}=\left(\frac{R_2}{R_1}\right)=\frac{2}{3}$ (where $P$ is power)