Question

Two harmonic waves travelling in the same medium have frequency in the ratio 1:2 and intensity in the ratio 1: 36. Their amplitude ratio is:

• A. 1 : 6
• B. 1 : 8
• C. 1 : 72
• D. 1 : 3

Answer 1

The correct option is A 1 : 6

$\frac{f_1}{f_2}=\frac{1}{2}$

$\frac{I_1}{I_2}=\frac{1}{36}$

Now,

$\frac{I_1}{I_2}=(\frac{A_1}{A_2}{)}^2$

$\frac{A_1}{A_2}=\sqrt{\frac{1}{36}}=\frac{1}{6}$

$A_1:A_2=1:6$