Question icon
Grade 12th passWave Motion

Please help me with the answer for 19 th question please

Question image for Please help me with the answer for 19 th question
Profile image of THIRRISHA
6 Years agoGrade 12th pass
Answers icon

2 Answers

Profile image of Arun
6 Years ago
First find the Velocity in the direction of Observer from Source
Which is vcos∅ = 20m/s × 1/2 {cos∅=Base/Hypotenuse}
... v = 10m/s
Now apply formula of Doppler's effect
μ'=μ×v/(v-v°)
μ'=640×330/330-10
μ'=640×330/320
μ'=660 Hz
Where μ'→Final Frequency and μ→Initial frequency
 
Profile image of Vikas TU
6 Years ago
In the above figure s is the position of locomotive and O is the position of observer when the locomotive whistle.
Angle SAO = 90 
AO = 0.6 mile
SA = 1 mile 
Component of Vs along SO 
V' = Vs CosQ 
CosQ = SA/SO 
= 0.857 
Speed of locomotive = 80 mile/hour = 0.22mile/sec 
Therefor 
V' = 0.22 * 0.857 = 0.019 mile/sec 
The apparent frequency when source is in motion 
f = 0.20/(0.20-0.019) *400 = 442 Hz