MCQMediumJEE Main 2026 · 23 January, Shift 1Kirchhoff's Laws & Circuits

Physics Question from JEE Main 2026 · 23 January, Shift 1

A wire of uniform resistance λ\lambda Ω/m\Omega/\text{m} is bent into a circle of radius rr and another piece of wire with length 2r2r is connected between points A and B (AOB) as shown in figure. The equivalent resistance between points A and B is _____ Ω\Omega.

A circular wire with center O, point A on the left side, point B at the top, radius r marked from O, and a wire segment connecting A to B along chord or arc path indicated as ACB.
  • A

    3πλr/83\pi\lambda r / 8

  • B

    2πλr2\pi\lambda r

  • C

    (π+1)2rλ(\pi + 1)2r \, \lambda

  • D

    6πλr/(3π+16)6\pi\lambda r / (3\pi + 16)

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