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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 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?
  • a)
    vP + vR = 2 vQ
  • 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
  • d)
    The plot below represents schematically the variation of beat frequency with time
Correct answer is option 'A,B,C'. Can you explain this answer?
Verified Answer
Two loudspeakers M and N are located 20 m apart and emit sound at freq...



∴ nP + nR = 2 nQ ⇒ (A) is correct option
In general when the car is passing through A


i.e.,   α = 90° (at Q)
⇒ (b) is correct option.

  … (ii)

    …(iii)
From (ii) & (iii)

∴ (c) is the correct option
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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 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?a)vP + vR = 2 vQb)The rate of change in beat frequency is maximum when the car passes through Qc)The plot below represents schematically the variation of beat frequency with timed)The plot below represents schematically the variation of beat frequency with timeCorrect answer is option 'A,B,C'. Can you explain this answer?
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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 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?a)vP + vR = 2 vQb)The rate of change in beat frequency is maximum when the car passes through Qc)The plot below represents schematically the variation of beat frequency with timed)The plot below represents schematically the variation of beat frequency with timeCorrect answer is option 'A,B,C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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 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?a)vP + vR = 2 vQb)The rate of change in beat frequency is maximum when the car passes through Qc)The plot below represents schematically the variation of beat frequency with timed)The plot below represents schematically the variation of beat frequency with timeCorrect answer is option 'A,B,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 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?a)vP + vR = 2 vQb)The rate of change in beat frequency is maximum when the car passes through Qc)The plot below represents schematically the variation of beat frequency with timed)The plot below represents schematically the variation of beat frequency with timeCorrect answer is option 'A,B,C'. Can you explain this answer?.
Solutions for 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 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?a)vP + vR = 2 vQb)The rate of change in beat frequency is maximum when the car passes through Qc)The plot below represents schematically the variation of beat frequency with timed)The plot below represents schematically the variation of beat frequency with timeCorrect answer is option 'A,B,C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of 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 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?a)vP + vR = 2 vQb)The rate of change in beat frequency is maximum when the car passes through Qc)The plot below represents schematically the variation of beat frequency with timed)The plot below represents schematically the variation of beat frequency with timeCorrect answer is option 'A,B,C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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 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?a)vP + vR = 2 vQb)The rate of change in beat frequency is maximum when the car passes through Qc)The plot below represents schematically the variation of beat frequency with timed)The plot below represents schematically the variation of beat frequency with timeCorrect answer is option 'A,B,C'. Can you explain this answer?, a detailed solution for 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 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?a)vP + vR = 2 vQb)The rate of change in beat frequency is maximum when the car passes through Qc)The plot below represents schematically the variation of beat frequency with timed)The plot below represents schematically the variation of beat frequency with timeCorrect answer is option 'A,B,C'. Can you explain this answer? has been provided alongside types of 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 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?a)vP + vR = 2 vQb)The rate of change in beat frequency is maximum when the car passes through Qc)The plot below represents schematically the variation of beat frequency with timed)The plot below represents schematically the variation of beat frequency with timeCorrect answer is option 'A,B,C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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 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?a)vP + vR = 2 vQb)The rate of change in beat frequency is maximum when the car passes through Qc)The plot below represents schematically the variation of beat frequency with timed)The plot below represents schematically the variation of beat frequency with timeCorrect answer is option 'A,B,C'. Can you explain this answer? tests, examples and also practice JEE tests.
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