Answer to Question #161979 in Optics for Tony

Question #161979

If a 1.00kHz sound source moves at a speed of 50.0m/s toward a listener who moves at a speed of 30.0m/s in a direction away from the source, what is the apparent frequency heard by the listener? The speed of sound in air is 343m/s.


1
Expert's answer
2021-02-19T18:59:24-0500

Applying the formula for the Doppler effect, obtain the observed frequency:


f=cvlcvsf0f = \dfrac{c - v_l}{c - v_s}f_0

where c=343m/sc = 343 m/s is the speed of soung, vl=30m/sv_l = 30m/s is the speed of the listener, vs=50m/sv_s = 50m/s is the speed of the source, and f0=1kHzf_0 = 1kHz is the natural frequency of the source. Thus, find


f=343m/s30m/s343m/s50m/s1kHz1.068 kHzf = \dfrac{343m/s - 30m/s}{343m/s - 50m/s}\cdot 1kHz \approx 1.068\space kHz

Answer. 1.068 kHz.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment