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Sound produced at a point is heard by a person after 5 second, while the same sound is heard by another person after 6 seconds. If the speed of sound is 300 m/s, what could be the maximum and minimum

  • A.1.8 km, 0.15 km
  • B.2.2 km, 0.20 km
  • C.2.8 km, 0.25 km
  • D.3.3 km, 0.30 km

Answer: D

The maximum and minimum separations are 3.3 km and 0.30 km.

The two listeners are at \[d_1 = 300\times5 = 1500\ \mathrm{m},\qquad d_2 = 300\times6 = 1800\ \mathrm{m}\] from the source. They are furthest apart when they lie on opposite sides of it, \(1500+1800 = 3300\ \mathrm{m}\), and closest when they lie on the same side, \(1800-1500 = 300\ \mathrm{m}\).

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