When the intensity is reduced to 1/10 the relative change is:

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Multiple Choice

When the intensity is reduced to 1/10 the relative change is:

Explanation:
The decibel change for intensity uses the formula 10 log10(I2/I1). If intensity is reduced to one tenth, I2/I1 = 0.1. Then 10 log10(0.1) = 10 × (−1) = −10 dB. So the relative change is −10 dB, reflecting a tenfold decrease in intensity. To put it in context, a change of about −3 dB corresponds to roughly half the power, while a +3 dB change would be about a doubling. A 0 dB change means no change at all.

The decibel change for intensity uses the formula 10 log10(I2/I1). If intensity is reduced to one tenth, I2/I1 = 0.1. Then 10 log10(0.1) = 10 × (−1) = −10 dB. So the relative change is −10 dB, reflecting a tenfold decrease in intensity.

To put it in context, a change of about −3 dB corresponds to roughly half the power, while a +3 dB change would be about a doubling. A 0 dB change means no change at all.

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