Two tangent galvanometers having coils of the same radius are conne...

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Two tangent galvanometers having coils of the same radius are connected in series. A current flowing in them produces deflections of \( 60^{\circ} \) and \( 45^{\circ} \) respectively. The ratio of the number of turns in the coils is
(1) \( \frac{4}{3} \)
(2) \( \frac{(\sqrt{3}+1)}{1} \)
(3) \( \frac{\sqrt{3}+1}{\sqrt{3}-1} \)
(4) \( \frac{\sqrt{3}}{1} \)
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