Two travelling waves y1=Asin[Kx+ct] and y2=Asin[Kx–ct]

| Two travelling waves

y_{1} = A s i n [K (x + c t)]

and

y_{2} = A s i n [K (x - c t)]

are superposed on a string. The distance between the adjacent nodes will be

A. $\frac{c t}{π}$

B. $\frac{c t}{2 π}$

C. $\frac{π}{2 K}$

D. $\frac{π}{K}$

Please scroll down to see the correct answer and solution guide.

Distance between two adjacent nodes is $\frac{λ}{2} = \frac{\frac{2 π}{K}}{2} = \frac{π}{K}$