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Q.

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

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a

Both statement I and statement II are incorrect

b

Statement I is correct but statement II is incorrect

c

Statement I is incorrect but statement II is correct

d

Both statement I and statement II are correct

answer is C.

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Detailed Solution

Statement 1 - R = $80 Ω$

$R_{1} = R_{2} = R_{3} = R_{4} = 20 Ω I n p a r a l l e l R_{e q} = \frac{20}{4} = 5 Ω$

Statement 2 -

Question Image

$P_{t h} = \frac{v^{2}}{R} \frac{P_{1}}{P_{2}} = (\frac{R_{2}}{R_{1}}) = \frac{2}{3} (w h e r e P i s p o w e r)$

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Given below are two statements: Statement I: A uniform wire of resistance 80Ω is cut into four equal parts. These parts are now connected in parallel. The equivalent resistance of the combination will be 5Ω.Statement II: Two resistance 2R and 3R are connected in parallel in an electric circuit. The value of thermal energy developed in 3R and 2R will be in the ration 3 : 2.In the light of the above statements, choose the most appropriate answer from the options given below