A sonometer wire resonates with a given tuning fork forming standing waves with five anti-nodes ...

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A sonometer wire resonates with a given tuning fork forming standing waves with five anti-nodes between the two bridges when a mass of \( 9 \mathrm{~kg} \) is suspended from the wire. When this mass is replaced by mass \( M \), the wire resonates with the same tuning fork forming three anti-nodes for the same position of the bridges. The value of \( M \) is
(a) \( 25 \mathrm{~kg} \)
(b) \( 5 \mathrm{~kg} \)
(c) \( 12.5 \mathrm{~kg} \)
(d) \( 1 / 25 \mathrm{~kg} \)
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