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(1)/(n^2)`

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

`Q=(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=(k)/(16^2)`
`k=91*256`
`k=23296`

Substituting this value of k in eq 1 we get,

`Q=(23296)/(n^2)`

Final Answer-The formula for Volume, Q is-

`Q=(23,296)/(n^(2))`