Wave Motion 5 Question 10

10. The spread of frequency as observed by the passengers in train B is

(2007, 4M)

(a) 310Hz

(b) 330Hz

(c) 350Hz

(d) 290Hz

Passage 2

Two plane harmonic sound waves are expressed by the equations.

y1(x,t)=Acos(0.5πx100πt)y2(x,t)=Acos(0.46πx92πt)

(All parameters are in MKS)

Show Answer

Solution:

  1. For the passengers in train B, observer is receding with velocity 30m/s and source is approaching with velocity 20m/s.

f1=800(3403034020)=775Hz

and

f2=1120(3403034020)=1085Hz

Spread of frequency =f2f1

=310Hz



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