For a diffraction horn loudspeaker,the sound emerges through a rectangular opening.The width of a diffraction horn is 0.14 m.If the speed of sound in air is 343 m/s,at what frequency is the diffraction angle equal to 35°?
A)3300 Hz
B)4300 Hz
C)6300 Hz
D)7700 Hz
E)9200 Hz

Question

For a diffraction horn loudspeaker,the sound emerges through a rectangular opening.The width of a diffraction horn is 0.14 m.If the speed of sound in air is 343 m/s,at what frequency is the diffraction angle  equal to 35°?
A)3300 Hz 
B)4300 Hz 
C)6300 Hz 
D)7700 Hz 
E)9200 Hz

Quizplus · Accepted Answer

The diffraction angle can be calculated using the formula:
θ = λ/wavelength

where θ is the diffraction angle, λ is the wavelength, and w is the width of the opening.

We can rearrange the formula to solve for the frequency:
λ = w/tan(θ)
λ = 0.14 m / tan(35°)
λ = 0.0977 m

The wavelength and speed of sound can be used to calculate the frequency:
v = fλ
343 m/s = f(0.0977 m)
f = 3511 Hz

The closest answer choice is B) 4300 Hz.

For a Diffraction Horn Loudspeaker,the Sound Emerges Through a Rectangular