The equation of stationary wave along a stretched string is given by $y = 5\sin\frac{\pi x}{3}\cos{40\pi t,}$ where $x$ and $y$ are in cm and $t$ in second. The separation between two adjacent nodes is

Question

Dr. Abubacker · Accepted Answer

(b) On comparing the given equation with standard equation
$y = 2a\sin\frac{2\pi x}{\lambda}\cos{\frac{2\pi vt}{\lambda} \Rightarrow \frac{2\pi x}{\lambda}} = \frac{\pi x}{3} \Rightarrow \lambda = 6$
Separation between two adjacent nodes $= \frac{\lambda}{2} = 3\ cm$

Q. The equation of stationary wave along a stretched string is given by $y = 5\sin\frac{\pi x}{3}\cos{40\pi t,}$ where $x$ and $y$ are in cm and $t$ in second. The separation between two adjacent nodes is

Explanation

Reviewed by Dr. Abubacker

Want more practice?