Progressive Wave in a String: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Progressive Wave in a String. Understanding the underlying formula is key to arriving at the correct answer below:

Speed of transverse wave $v = \sqrt{\frac{T}{\mu}}$. If $T$ is doubled, $v_{\text{final}} = \sqrt{2} v_{\text{initial}}$. Ratio $v_{\text{initial}} : v_{\text{final}} = 1 : \sqrt{2}$.