Question

A and B represent the displacement-distance graphs for two sound waves when they pass through air. Find the ratio between their loudness.

fig A



fig B

• A. 3:4
  
• B. 4:3
  
• C. 16:9
  
• D. 9:16

Answer 1

The correct option is C

16:9

Since, $\text{Loudness}\propto (amplitude{)}^2$
$\frac{\text{Loudness of A}}{\text{Loudness of B}}$ = $\frac{(AmplitudeofA{)}^2}{(AmplitudeofB{)}^2}$ = ${\left(\frac{8}{6}\right)}^2=\frac{16}{9}$