Answer:
the sound intensity at the position of the microphone is 7.4 × 10⁻⁴ W/m²
Step-by-step explanation:
Given the data in the question;
Sound power P = 26.0 W
Area of microphone A = 1.00 cm²
Radius r = 53.0 m
sound intensity at the position of the microphone = ?
Now, intensity at the position of the microphone can be determined using the following expression;
= P / 4πr²
We substitute
= 26.0 / ( 4 × π × (53.0 )² )
= 26.0 / ( 4 × π × 2809 )
= 26.0 / 35298.935
= 26.0 / ( 4 × π × (53.0 )² )
= 0.000736566
= 7.4 × 10⁻⁴ W/m²
Therefore, the sound intensity at the position of the microphone is 7.4 × 10⁻⁴ W/m²