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Two parallel vertical metallic rails \( A B \) and \( C D \) are separated by \( 1 \mathrm{~m} \). They are connected at the two ends by resistances \( R_{1} \) and \( R_{2} \) as shown in the figure. A horizontal metallic bar \( L \) of mass \( 0.2 \mathrm{~kg} \) slides without friction, vertically down the rails under the action of gravity. There is a uniform horizontal magnetic field of \( 0.6 \mathrm{~T} \) perpendicular to the plane of the rails. It is observed t. at when the terminal velocity is attained, the powers dissipated in \( R_{1} \) and \( R_{2} \) are \( 0.76 W \) and
\( \mathrm{P} \) \( 1.2 W \) respectively \( \left(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\right) \)
The value of \( R_{1} \) is
(a) \( 0.47 \Omega \)
(b) \( 0.82 \Omega \)
(c) \( 0.12 \Omega \)
(d) None of these
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