JEE Advanced 2016 Paper 1 Physics Q7

Physics · Sound · Superposition & Standing Waves

Problem

Two loudspeakers MM and NN are located 20 m apart and emit sound at frequencies 118 Hz and 121 Hz, respectively. A car is initially at a point PP, 1800 m away from the midpoint QQ of the line MNMN and moves towards QQ constantly at 60 km/hr along the perpendicular bisector of MNMN. It crosses QQ and eventually reaches a point RR, 1800 m away from QQ. Let ν(t)\nu(t) represent the beat frequency measured by a person sitting in the car at time tt. Let νP\nu_P, νQ\nu_Q and νR\nu_R be the beat frequencies measured at locations PP, QQ and RR, respectively. The speed of sound in air is 330 m s−1330\,\mathrm{m\,s^{-1}}. Which of the following statement(s) is(are) true regarding the sound heard by the person?

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