A microphone has an area of 6.7 cm2. It receives during a 4.62 s time period a sound energy of 2.5x10-11 J. What is the intensity of the sound?

To find the intensity of the sound, we can use the formula:

Intensity = Power / Area

To calculate the power of the sound, we can use the formula:

Power = Energy / Time

Given:
Area = 6.7 cm^2
Energy = 2.5 x 10^-11 J
Time = 4.62 s

First, let's convert the area from cm^2 to m^2 by dividing by 10000:

Area = 6.7 cm^2 / 10000 = 0.00067 m^2

Next, we can calculate the power:

Power = Energy / Time
Power = 2.5 x 10^-11 J / 4.62 s ≈ 5.415 x 10^-12 W

Now, we can calculate the intensity:

Intensity = Power / Area
Intensity = 5.415 x 10^-12 W / 0.00067 m^2 ≈ 8.094 x 10^-9 W/m^2

Therefore, the intensity of the sound is approximately 8.094 x 10^-9 W/m^2.