Question

Two travelling waves $y_1=Asin\left[K\right(x+ct\left)\right]$ and $y_2=Asin\left[K\right(x–ct\left)\right]$ are superposed on a string. The distance between the adjacent nodes will be

• A. $\frac{ct}{\pi }$
• B. $\frac{ct}{2\pi }$
• C. $\frac{\pi }{2K}$
• D. $\frac{\pi }{K}$

Answer 1

The correct option is D $\frac{\pi }{K}$

Distance between two adjacent nodes is $\frac{\lambda }{2}=\frac{\frac{2\pi }{K}}{2}=\frac{\pi }{K}$