A riverside warehouse has two open doors, as in the figure below. Its interior i

Question

A riverside warehouse has two open doors, as in the figure below. Its interior is lined with a sound-absorbing material. To person A, the sound is loud and clear. To person B, the sound is barely audible. The principal wavelength of the sound waves is 3.40 m. Assuming person Bis at the position of the first minimum, determine the distance between the doors, center to center.
m

A riverside warehouse has two open doors, as in the figure below. Its interior is lined with a sound-absorbing material. To person A, the sound is loud and clear. To person B, the sound is barely audible. The principal wavelength of the sound waves is 3.40 m. Assuming person Bis at the position of the first minimum, determine the distance between the doors, center to center.

Explanation / Answer

Condition for minima,

dsin (alpha)=(k+0.5)*(lembda)

sin (alpha)=y/D

For first minima,

d=0.5*(lembda)*D/y

y=20 m

D=150 m

lembda=3.4 m

d=(0.5*3.4*150)/20

d=12.75 m

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Distance between the two doors=12.75 m

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