Home Physics Wave and Sound Mix A platinum wire (density 21.4 g/cm 3 ) is 22…
Physics Wave and Sound Mix MCQ (Single Correct)

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.

A
What tuning-fork frequency will cause this to happen? You may assume that the bottom end of the wire (to which the mass is attached) is essentially stationary, and that the tension in the wire is essentially constant along its length. .
B
Justify the assumptions made in part

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The correct answer is:
CHECK THE SOLUTION.

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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