A tuning fork of frequency \( 256 \mathrm{~Hz} \) produces 4 beats per second with a wire of len...

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A tuning fork of frequency \( 256 \mathrm{~Hz} \) produces 4 beats per second with a wire of length \( 25 \mathrm{~cm} \) vibrating in its fundamental mode. The beat frequency decreases when the length is slightly shortened. What could be the minimum length by which the wire be shortened so that it produces no beats with the tuning fork?
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