Question

Two waves are represented by the following equations :
$y_1=5\sin 2\pi (10t-0.1x)$ and
$y_2=10\sin 2\pi (10t-0.1x)$.
The ratio of intensities $\frac{I_2}{I_1}$ will be

• A. $1$
• B. $2$
• C. $4$
• D. $16$

Answer 1

The correct option is C $4$

$I\alpha v{V}^2{A}^2$
$V$ and $v$ are the same for both,
$\Rightarrow \frac{I_1}{I_2}={\left(\frac{A_1}{A_2}\right)}^2={\left(\frac{1}{2}\right)}^2=\frac{1}{4}$