For the sake of science a physicist jumps attached to the end of a bungee cord, carrying sound m...

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For the sake of science a physicist jumps attached to the end of a bungee cord, carrying sound measuring
\( \mathrm{P} \) equipment. As he swings up and down vertically with a period of \( 6.0 \mathrm{~s} \), he observes the frequency W of a sound source on the ground directly below him, and finds a difference of \( 84 \mathrm{~Hz} \) between the maximum and minimum frequency of the source. If the source emits a constant frequency \( 1370 \mathrm{~Hz} \), and assuming no significant attenuation of his oscillations over the duration of the measurements, the amplitude of his oscillations is closest to :-
(1) \( 10 \mathrm{~m} \)
(2) \( 20 \mathrm{~m} \)
(3) \( 32 \mathrm{~m} \)
(4) \( 15 \mathrm{~m} \)
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