Two loudspeakers M and N are located 20 m apart and emit sound at frequencies 118 Hz and…
Physics · JEE Advanced · NTA Exams — Oscillations and Waves
Two loudspeakers M and N are located 20 m 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 υ(t) represent the beat frequency measured by a person sitting in the car at time t. Let υP, υQ and υR be the beat frequencies measured at locations P, Q and R, respectively. The speed of sound in air is 330 m s–1. Which of the following statement(s) is(are) true regarding the sound heard by the person?
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 υ(t) represent the beat frequency measured by a person sitting in the car at time t. Let υP, υQ and υR be the beat frequencies measured at locations P, Q and R, respectively. The speed of sound in air is 330 m s–1. Which of the following statement(s) is(are) true regarding the sound heard by the person?
- The plot below represents schematically the variation of beat frequency with time
- uP + uR = 2uQ
- The plot below represents schematically the variation of beat frequency with time
- The rate of change in beat frequency is maximum when the car passes through Q
Answer
(B) u P + u R = 2 u Q
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