The equation of a stationary wave along a stretched string is given by $y = 4\sin{\frac{2\pi x}{2}\ \cos 40\pi t}$ where x and y are in cms and $t$ is in sec. The separation between two adjacent nodes is

Question

Dr. Abubacker · Accepted Answer

(b) Compare the given equation with the standard form of stationary wave equation
$y = 2r\sin\frac{2\pi x}{\lambda}\cos\frac{2\pi vt}{\lambda}$,
We get $\frac{2\pi x}{\lambda} = \frac{2\pi vt}{3}\ \ \ \ 	herefore\ \lambda = 3cm$
Separation between two adjacent nodes $= \frac{\lambda}{2} = 1.5cm$

Q. The equation of a stationary wave along a stretched string is given by $y = 4\sin{\frac{2\pi x}{2}\ \cos 40\pi t}$ where x and y are in cms and $t$ is in sec. The separation between two adjacent nodes is

Explanation

Reviewed by Dr. Abubacker

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