Lower frequency sound results in a ______ half-value layer.

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Multiple Choice

Lower frequency sound results in a ______ half-value layer.

Explanation:
Attenuation and the half-value layer depend on frequency: lower frequency sound is attenuated less per unit distance, so you need a greater thickness to reduce the intensity by half. Mathematically, I = I0 e^{-αx}, and the HVL is x = ln 2 / α. Since the attenuation coefficient α increases with frequency, lowering frequency lowers α, which makes the HVL larger. Therefore, a thicker half-value layer is required for lower frequency sound. That’s why the best choice is thick.

Attenuation and the half-value layer depend on frequency: lower frequency sound is attenuated less per unit distance, so you need a greater thickness to reduce the intensity by half. Mathematically, I = I0 e^{-αx}, and the HVL is x = ln 2 / α. Since the attenuation coefficient α increases with frequency, lowering frequency lowers α, which makes the HVL larger. Therefore, a thicker half-value layer is required for lower frequency sound. That’s why the best choice is thick.

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