Question

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 resistances 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 option 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

The Correct Option is C

Statement 1 - 

R = 80 Ω 

R1=R2=R3=R4=20 Ω In parallel \(R_{eq}=\frac{20}{4}=5 Ω\)

Statement 2 - 

\(P_{tℎ}=\frac{v^2}{R}\frac{P1}{P2}=(\frac{R2}{R1})=\frac{2}{3}\) (where P is Power)

So, Statement I is correct but statement II is incorrect.