A platinum wire (density 21.4 g/cm 3 ) is 225 µm in diameter and 0.450 m long. One end of the wire is attached to the ceiling, while a 420-g mass is attached to the other end so that the wire hangs vertically under tension. If a vibrating tuning fork of just the right frequency is held next to the wire, the wire begins to vibrate as well.
Text Solution
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From Eq.
(string fixed at both ends), with
the mass of the string and
the suspended mass,


and the tuning fork frequencies for which the fork would vibrate are integer multiples of 77.3 Hz .
The ratio
, so the tension does not vary app
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