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Physics of Sound

  1. Two sources of sound placed close to each other are emitting progressive waves given by y1 = 4 sin 600 πt and y2 = 5 sin 608 πt. An observer located near these two sources of sound will hear :
    1. 4 beats per second with intensity ratio 25 : 16 between waxing and waning.
    2. 8 beats per second with intensity ratio 25 : 16 between waxing and waning
    3. 8 beats per second with intensity ratio 81 : 1 between waxing and waning
    4. ​4 beats per second with intensity ratio 81 : 1 between waxing and waning
Correct Option: D

2π ƒ1 = 600 π
ƒ1 = 300 ... (1)
2π ƒ2 = 608 π
ƒ2 = 304 ... (2)
1 – ƒ2| = 4 beats

Imax
=
(A1 + A2
=
(5 + 4)²
=
81
Imin(A1 + A1(5 - 4)²1

where A1,A1 are amplitudes of given two sound wave.



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