Verified Solution • 2025–26 Session moderate

QNEET-2022-Ph-555: NEET 2022 Physics - Class 12 NEET-2022-Ph-555 Solution: The equivalent resistance of the infinite network given below…

The equivalent resistance of the infinite network given below is:

(1+\sqrt{5})\Omega

2\Omega

(1+\sqrt{2})\Omega

(1+\sqrt{3})\Omega

Multiple Choice Options

A $\left( {1 + \sqrt 5 } \right)\Omega$ ( 1 + 5 _ ) �
B $2\,\Omega$ 2 �
C $\left( {1 + \sqrt 2 } \right)\Omega$ ( 1 + 2 _ ) �
D $\left( {1 + \sqrt 3 } \right)\Omega$ ( 1 + 3 _ ) �

Step-by-Step Verified Solution

Let net resistance of the given infinite network be 'R' Now, the circuit can be modified as Now, R n e t = R = 1 + 1 + R R + 1 _ R = 2 + R R + 1 R 2 + R = 2 R + 2 + R R 2 _ 2 R _ 2 = 0 R = ( 2 � 4 + 8 2 ) R = ( 1 + 3 ) �

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