Question

In: Physics

Students are sitting in a classroom and listening to a lecture. If the lecture has a...

Students are sitting in a classroom and listening to a lecture. If the lecture has a sound level of 65 dB to the student sitting in the front row, what is the sound level according to another student sitting 3 times further away?

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Expert Solution

Sound level of the lecture for the student sitting in the front row = ₁ = 65 dB

Sound intensity of the lecture for the student sitting in the front row = I₁

Distance of the student in the front row from the sound source = R₁

I₁ = 3.162 x 10^-6 W/m²

Distance of another student from the sound source = R₂

The other student is sitting 3 times further away.

R₂ = 3R₁

Sound intensity of the lecture for the other student = I₂

The power of the sound is distributed equally in all directions that is in a spherical manner therefore,

I₂ = 3.513 x 10^-7 W/m²

Sound level of the lecture for the other student = ₂

₂ = 55.45 dB

Sound level according to another student sitting 3 times further away = 55.45 dB

genius_generous answered 2 years ago

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