A wire of resistance 12 ohm per meter is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite points A and B as shown in the figure is

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$0.6 π Ω$

$3 Ω$

$6 Ω$

$6 π Ω$

answer is C.

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Detailed Solution

Length of semi-circle $L = π r = π (0.1)$
$∴$ Resistance of each semi-circle
$R = 12 \times 0.1 π = 1.2 π Ω$
Equivalent resistance between point A and B
$R_{e q} = 1.2 π | | 1.2 π = \frac{1.2 π}{2} = 0.6 π Ω$
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