Question

In YDSE ratio of Amplitude of wave is $1:3$. The ratio of $I_{max}:I_{min}$ is:

• A. $1:4$
• B. $4:1$
• C. $1:1$
• D. $1:9$

Answer 1

The correct option is B

$4:1$

Step 1: Given information

The ratio of Amplitude of wave is $1:3$

Step 2: Calculate the ratio of $I_{max}:I_{min}$

Find the ratio:

$\begin{array}{l}\Rightarrow \frac{I_{\max }}{I_{\min }}={\left(\frac{A_1+3A_1}{A_1-3A_1}\right)}^2\\ \Rightarrow \frac{I_{\max }}{I_{\min }}=\frac{4}{1}\end{array}$

Hence, the correct option is (B).