The correct option is D πk
Given two travelling waves y1=A sin [k(x - ct)] and y2=A sin [k(x+ct)]
Since stationary wave is formed due to interference of two identical waves, moving in opposite directions.
y1+y2=A sin [k(x - ct)]+A sin [k(x + ct)]=2A sin (kx)cos (kct)]
Wave number k=2πλ
∴ wavelength (λ)=2πk
Distance between adjacent nodes will be,
Δx=λ2=(2πk)2
∴Δx=πk