Question

Select One Correct Option from the following: 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 ν(t) represent the beat frequency measured by a person sitting in the car at time t. Let $v_{p}, v_{q} and v_{r}$ be the beat frequencies measured at locations P, Q and R, respectively. The speed of sound in air is 330 m/s. Which of the following statement(s) is(are) true regarding the sound heard by the person?
(A) $V_{P} +V_{R} = 2v_{q}$
(B) The rate of change in beat frequency is maximum when the car passes through Q.
(C) The plot below represents schematically the variation of beat frequency with time. and please refer the image.
(D) The plot below represents schematically the variation of beat frequency with time. and please refer the image.

Answer 1

d is the correct option.
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