contestada

A bell with a fundamental frequency of 880 Hz is moving toward an observer at 3.5 m/s. If the speed of sound is 343 m/s, what pitch would be heard by the observer?1) 871 Hz2) 889 Hz3) 880 Hz4) 884 Hz

Respuesta :

Given,

The fundamental frequency of the bell, f=880 Hz

The speed of the bell, v₀=3.5 m/s

The speed of the sound, v=343 m/s

The pitch heard by the observer due to the doppler shift is given by,

[tex]f_0=\frac{f}{1-\frac{v_0}{v}}[/tex]

On substituting the known values,

[tex]\begin{gathered} f_0=\frac{880}{1-\frac{3.5}{343}} \\ \approx889\text{ Hz} \end{gathered}[/tex]

Thus the frequency heard by the observer is 889 Hz.

Therefore the correct answer is option 2.

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