ExamBro
ExamBro
JEE Advanced · Physics · 16. Waves & Sound

Two loudspeakers M and N are located 20m apart and emit sound at frequencies 118 Hz and 121 Hz, respectively. A car is initially at a point P, 1800 m away from the midpoint Q of the line MN and moves towards Q constantly at 60 km/hr along the perpendicular bisector of MN. It crosses Q and eventually reaches a point R, 1800 m away from Q. Let υt represent the beat frequency measured by a person sitting in the car at time t. Let νp, νQ and νR be the beat frequencies measured at locations P, Q and R, respectively. The speed of sound in air is 330 ms-1. Which of the following statement(s) is(are) true regarding the sound heard by the person ?

  1. A The plot below represents schematically the variation of beat frequency with time
  2. B The plot below represents schematically the variations of beat frequency with time
  3. C The rate of change in beat frequency is maximum when the car passes through Q
  4. D νP+νR=2νQ
Verified Solution

Answer & Solution

Correct Answer

(A) The plot below represents schematically the variation of beat frequency with time

Step-by-step Solution

Detailed explanation


fM=C+VcosθC f1
fN=C+VcosθC f2
Δf=fN-fM
=C+VcosθC f2-f1
dΔfdt= -VC f2-f1sinθ dθdt
and dΔfdt is maximum when θ=90o
iii is correct
vP=1+VCcosθΔf
vQ=Δf
vR=1-VCcosθΔf
vP+vr=2vQ
Same subject
Explore more questions on app
From JEE Advanced
Explore more questions on app