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Find the sound level in dB of 7.47 10-2 W/m2 ultrasound used in medical diagnostics.

dB

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The sound level of the ultrasound used in medical diagnostics is approximately 108.72 dB.

To find the sound level in decibels (dB) for a given power intensity, you can use the formula:

dB = 10 * log10(I/I0)

where I is the given power intensity and I0 is the reference intensity.

In this case, the power intensity is 7.47 * 10^(-2) W/m^2. However, we need to know the reference intensity to calculate the sound level in dB. The reference intensity typically used for sound level measurements is 1 * 10^(-12) W/m^2.

Substituting the values into the formula:

dB = 10 * log10(7.47 * 10^(-2) / (1 * 10^(-12)))

Simplifying:

dB = 10 * log10(7.47 * 10^10)

Using the properties of logarithms:

dB = 10 * (log10(7.47) + log10(10^10))

dB = 10 * (log10(7.47) + 10)

Calculating the logarithm and multiplying:

dB = 10 * (0.872 + 10)

dB = 10 * 10.872

dB ≈ 108.72

Therefore, the sound level of the ultrasound used in medical diagnostics is approximately 108.72 dB.

User Robert Hafner
by
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