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Current Electricity question

2009 · Q132
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Current Electricity question

2009 · Q132

NEETPhysicsCurrent ElectricityMCQ+4 / −1
A wire of resistance 12 ohms 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

AIPMT 2009 Physics - Current Electricity Question 78 English
  1. A
    3 Ω3\,\Omega3Ω
  2. B
    6π Ω6\pi \,\Omega6πΩ
  3. C
    6 Ω6\,\Omega6Ω
  4. D
    0.6π Ω0.6\pi \,\Omega0.6πΩ
View written solutionFree

Correct answer: D

AIPMT 2009 Physics - Current Electricity Question 78 English Explanation

The resistance of length 2π\pi πR is 12Ω\Omega Ω. Hence the resistance of length π\pi πR is 6Ω\Omega Ω. Thus two resistances of 6Ω\Omega Ω can be represented as shown in fig.

∴\therefore∴ Equivalent resistance R = 6×612=3{{6 \times 6} \over {12}} = 3126×6​=3

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