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A strecthed wire vibrating in fundamental mode is in unision with a tuning fork. Keeping the same tension, the length of the wire between the bridges is doubled. The tuning fork can still be in resonance with the wire. Provided the wire now vibrates in

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4 segments

6 segments

3 segments

2 segments

answer is D.

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Detailed Solution

$l \propto p; \frac{l_{1}}{l_{2}} = \frac{p_{1}}{p_{2}} \Rightarrow \frac{l}{2 l} = \frac{p}{p_{2}}$
p₂ = 2p = 2(1) $\Rightarrow$ (2 segments)

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