Q. Two travelling waves $y_{1} = A\sin{\lbrack k(x - ct)\rbrack}$ and $y_{2} = A\sin{\lbrack k(x + ct)\rbrack}$ are superimposed on string. The distance between adjacent nodes is
A) $ct/\pi$
B) $ct/2\pi$
C) $\pi/2k$
D) $\pi/k$
Explanation
(d) The distance between adjacent nodes $x = \frac{\lambda}{2}$
Also $k = \frac{2\pi}{\lambda}.$ Hence $x = \frac{\pi}{k}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.