Question

The bellow of a territorial bull hippopotamus is measured at 100 dB above the threshold of hearing. What is the sound intensity? Hint: The threshold of human hearing is I0 = 1.00 x 10-12 W/m2.The bellow of a territorial bull hippopotamus is measured at 100 dB above the threshold of hearing. What is the sound intensity? Hint: The threshold of human hearing is I0 = 1.00 x 10-12 W/m2.

Answer 1

Step-by-step explanation:

The hippopotamus hearing threshold is 100dB

β = 100 dB

The threshold of human hearing is Io = 1 × 10^-12 W/m²

The sound intensity level is given as

β = 10•Log(I / Io)

100 = 10•Log(I / Io)

Divided Both sides by 10

100 / 10 = Log(I / Io)

10 = Log(I / Io)

Take inverse Logarithm ( antilog) of both sides

10^10 = 10^[Log(I / Io)]

10^10 = I / Io

Then,

I = 10^10 × Io

I = 10^10 × 1 × 10^-12

I = 1 × 10^-2 W/m²

I = 0.01 W/m²

The sound intensity is 0.01 W/m²