Answer:
[tex]f_L = 1000 Hz[/tex]
Explanation:
given,
speed of wind, = 14 m/s
frequency of horn,f_s = 1000 Hz
speed of sound,V = 344 m/s
frequency heard by the listener
using Doppler effect
[tex]f_L = \dfrac{v+v_L}{v+v_s}f_s[/tex]
f_L is the frequency of the sound heard by the listener
f_s is the frequency of sound emitted by the listener
V is the speed of sound
v_L is the speed of listener
v_s is the speed of source
now,
considering the frame of reference in which wind is at rest now, both listener and the source will be moving at 14 m/s
[tex]f_L = \dfrac{v+14}{v+14}\times 1000[/tex]
now on solving we will get
[tex]f_L = 1000 Hz[/tex]
hence, the frequency heard by the listener is equal to 1000 Hz
