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Waves question

2016 · Shift 1 · Q47
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Waves question

2016 · Shift 1 · Q47

JEE AdvancedPhysicsWavesMultiple correct+4 / −2
Two loudspeakers M and N are located 20m apart and emit sound at frequencies 118 Hz and 121 Hz, respectively. A car in initially at a point P, 1800 m away from the midpoint Q of the line MN and moves towards Q constantly at 60 km/h along the perpendicular bisector of MN. It crosses Q and eventually reaches a point R, 1800 m away from Q. Let v(t) represent the beat frequency measured by a person sitting in the car at time t. Let vP, vQ and vR 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 JEE Advanced 2016 Paper 1 Offline Physics - Waves Question 25 English Option 1
  2. B
    The rate of change in beat frequency is maximum when the car passes through Q
  3. C
    vP + vR = 2vQ
  4. D
    The plot below represents schematically the variations of beat frequency with time JEE Advanced 2016 Paper 1 Offline Physics - Waves Question 25 English Option 4
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