Question

If the intensity ratio of two waves is $1:4$, then find the ratio of their amplitudes.

• A. $1:2$
• B. $2:1$
• C. $1:4$
• D. $4:1$

Answer 1

Answer: (A)

Intensity, $I\propto {\left(A\right)}^2$
$\frac{I_1}{I_2}={\left(\frac{A_1}{A_2}\right)}^2$
$\frac{1}{4}={\left(\frac{A_1}{A_2}\right)}^2$
$\Rightarrow \frac{A_1}{A_2}=\frac{1}{2}$