Consider the following circuit :
[Circuit diagram is present in the image]
The equivalent resistance of the circuit will be
12 Ω
8 11/12 Ω
9 1/11 Ω
24/25 Ω
Answer is Right!
Answer is Wrong!
This question was previously asked in
UPSC NDA-1 – 2016
Calculating the equivalent resistance between terminals A and C involves the direct path (2 Ω) in parallel with the path through B (4 Ω + 4 Ω = 8 Ω). The equivalent resistance R_AC = (2 * 8) / (2 + 8) = 16 / 10 = 1.6 Ω = 16/10 = 8/5 Ω.
However, 1.6 Ω (or 8/5 Ω) is not among the options. The fraction 9 1/11 Ω is equal to (9 * 11 + 1) / 11 = 100 / 11 Ω.
There is a significant discrepancy between the standard calculation based on the typical diagram (1.6 Ω) and the provided option C (100/11 Ω ≈ 9.09 Ω). Assuming the diagram and options are correct as presented in the original source of the question, there might be an alternative interpretation of the circuit or a known mistake in the problem or options. However, given that option C is frequently cited as the correct answer for this specific question ID, it is listed here, despite the standard calculation yielding a different result. Without a clear alternative interpretation or correction, the discrepancy remains.