Question

I’m not sure on how to solve this right. I’ve been trying to find the solution but I can’t

Answer 1

Given: The volume, 'Q', and the distance from the source as 'n'. also Q=91db and n=16m.

Required: To write the formula for Q as a function of 'n'.

Explanation: Since the volume,'Q' of a sound is inversely proportional to the square of the distance, 'n'

$Q\propto\frac{1}{n^2}$

Taking, 'k' as the proportionality constant we get,

$Q=\frac{k}{n^2}................(1)$

Now we have to solve for k. Putting the value of Q and n as given in the question we get,

$91=\frac{k}{16^2}$$k=91\times256$$k=23296$

Substituting this value of k in eq 1 we get,

$Q=\frac{23296}{n^2}$

Final Answer-The formula for Volume, Q is-

$Q=\frac{23,296}{n^{2}}$