A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes b...

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A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges when a mass of \( 9 \mathrm{~kg} \) is suspended from the wire. When this mass is replaced by mass \( \mathrm{M} \), the wire resonates with the same tuning fork forming three antinodes for the same positions of the bridges. Then find the value of square root of \( \mathrm{M} \).
(1) 5
(2) 10
(3) 25
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