If the intensity is increased by a factor x, sound level is increased by 20 dB. Then, the value of x is

jdkhoo88o8j

jdkhoo88o8j

Answered question

2023-02-12

If the intensity is increased by a factor x, sound level is increased by 20 dB. Then, the value of x is

Answer & Explanation

Corey Wise

Corey Wise

Beginner2023-02-13Added 9 answers

We have that, Loudness (β) is related to intensity of sound (I) as,
Δβ=10log10( I / I 0 )
From the data given in the question,
20=10log10( ( I / I 0 ) [∵Δβ=20 dB]
I / I 0 =102=100
⇒I=100 I 0
Comparing with I=x I 0 we get, x=100

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