The sound level of one person talking at a certain distance from you is 61 dB. If she is joined by 5 more friends, and all of them are talking at the same time as loudly as she is, what sound level are you being exposed to?

Explanation:

For sound level in decibel scale the relation is

dB = 10 log I / I₀ where I₀ = 10⁻¹² and I is intensity of sound whose decibel scale is to be calculated .

Putting the given values

61 = 10 log I / 10⁻¹²

log I / 10⁻¹² = 6.1

I = 10⁻¹² x 10⁶°¹

intensity of sound of 5 persons

= 10log 5 x 10⁶°¹

= 10( 6.1 + log 5 )

= 67.98

sound level will be 67.98 dB .

the answer is a)

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