2/4 points | Previous Answers My Notes Ask Your Teacher O Three sources of sound
ID: 2031591 • Letter: 2
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2/4 points | Previous Answers My Notes Ask Your Teacher O Three sources of sound are distributed along a line, as shown in the figure, is the speed of sound. Source A is traveling at vó to the right, and it emits sound waves with a frequency of 390 Hz. Source b is at rest, and it emits sound waves with a frequency of 1200 Hz. Source C is traveling at a speed of v/8 to the right, and it emits sound waves with a frequency of 1600 Hz. A, B, and C also detect the sound waves emitted by the other sources. All the questions below pertain to when the three sources of sound are at the locations shown in the figure below at rest (a) What frequency does A observe for the waves emitted by 0? (A observer;D source) 1400 (b) What trequency does C observe for the waves emitted by A? (Cobserver; Asource) (c) What frequency doos B observe for the waves emitted by C? (observer; C sourcc) 1422.22 112 (d) If B started moving to the right at just the right speed, B would observe a frequency for the waves it recelves from C that is exactly 1.5 times the frequency of the waves emitted by C. At what speed should B be moving so that B observes a frequency for the waves it reccives from C that is exactly 1.5 times the frequency of the waves emitted by C? Additional Materials Section 21.6: Sonic Booms, and the Doppler Effect in GeneralExplanation / Answer
let
f is the frequency of the source
f' is the observer
a)
here,
A is observer and B is source
use,
f'=f*(v+vo)/v
=1200*(v+v/6)/v
=1400 Hz
b)
here,
C is observer and A is source
use,
f'=f*(v-vo)/(v-vs)
=390*(v-v/8)/(v-v/6)
=409.5 Hz
c)
here,
B is observer and C is source
use,
f'=f*(v)/(v+vs)
=1600*(v)/(v+v/8)
=1422.22 Hz
d)
use,
f'=1.5*fc
fc*(v+vo)/(v+vs)=1.5*fc
(v+vB)/(v+v/8)=1.5
====> VB=0.68*v
or VB/v=0.68
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