Question

Select the correct answer. Sound waves can be ranked by their intensity, I, given in the formula below, where r is the distance from the source of a sound with a power output of P.

P = 4TIT²
Solve the formula for the distance from the source, r.
O A. r=1/2 √ πI/P
OB. r=1/4 √ πI/P
OC. r=1/2 √ P/πI
O D. r=1/4 √ P/πI​

Answer 1

To find the distance from the source of a sound, the formula P = 4ПI r² can be solved for r, giving the correct answer as r = 1/2 √(P/ПI).

Step-by-step explanation:

The question asks us to solve the formula for distance r when given the intensity I and the power output P of a sound source. The formula provided is P = 4ПIr². By rearranging for r, we first divide both sides by (4ПI) which gives us r² = P/(4ПI). Then, by taking the square root of both sides, we obtain r = √(P/(4ПI)). This simplifies to r = 1/2 √(P/ПI). Therefore, the correct answer is C. r = 1/2 √(P/ПI).