For a diffraction horn loudspeaker, sound emerges through a rectangular opening. The opening of a diffraction horn has a width of 0.12 m. If the speaker emits a continuous tone with a wavelength of 0.09 m, at what angle does the first minimum occur

Question

Mathematics

Alondra Little

16 December, 19:09

For a diffraction horn loudspeaker, sound emerges through a rectangular opening. The opening of a diffraction horn has a width of 0.12 m. If the speaker emits a continuous tone with a wavelength of 0.09 m, at what angle does the first minimum occur

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Answers (1)

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Jesse Wong · Answer 1

48.6 ⁰

Step-by-step explanation:

dа ta:

Conditions for the first minimum are as follows:

a sinΘ = λ ... (1)

where a = 0.12 m

λ = 0.09 m

From condition (1) sin Θ = λ/a

= 0.09/0.12

Θ = sin ⁻¹ (0.09/0.12)

= 48.6⁰ Ans