Question

The ratio of intensities of two waves is $1:16$. The ratio of their amplitudes is

• A. $16/17$
• B. $1/16$
• C. $1/4$
• D. $1/2$

Answer 1

Answer: (C)

$1/4$

Ratio of intensities of two waves is $\frac{I_1}{I_2}=\frac{A_1^2}{A_2^2}=\frac{1}{16}\Rightarrow \frac{A_1}{A_2}=\frac{1}{4}$
Thus the ratio of their amplitudes is $\frac{1}{4}$.