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Positive like charge of linear charge density \( \lambda_{1} \) is passed on the outer circumference of an annular disc, having outer radius \( 2 \mathrm{R} \). Negative like charge of linear charge density \( \lambda_{2} \) is passed on the inner circumference of the disc, having inner radius \( \mathrm{R} \). The disc is rotating with constant angular velocity \( \omega \) about an axis passing through the centre of mass and perpendicular to its plane. If the net magnetic field at the centre of the disc is 0 , then the ratio
\( \lambda_{1} / \lambda_{2} \) is
(1) \( 1: 2 \)
(2) \( 2: 1 \)
(3) \( 4: 1 \)
(4) \( 1: 1 \)
\( \mathrm{P} \)
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