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Sound with frequency 1200 HzHz leaves a room through a doorway with a width of 1.03 mm . At what minimum angle relative to the centerline pe
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Sound with frequency 1200 HzHz leaves a room through a doorway with a width of 1.03 mm . At what minimum angle relative to the centerline perpendicular to the doorway will someone outside the room hear no sound
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Physics
4 years
2021-07-26T17:07:32+00:00
2021-07-26T17:07:32+00:00 1 Answers
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Answer:
Explanation:
The problem is based on diffraction of sound . In this phenomenon sound does not travel in straight line . It turns around the pointed corner . Due to it, sound intensity forms fringes ie intensity are not uniformly scattered on all around.
wave length λ = velocity / frequency
= 340 / 1200
λ = 0.2833 m .
slit width a = 1.03 x 10⁻³
angular width of central fringe = 2 λ / a
= 2 x .2833 / 1.03 x 10⁻³
= .5666 x 10³ radian .
566.6 radian .
Within this angle intensity of sound is maximum.