A string vibrates according to the equation $y = 5\sin\left( \frac{2\pi x}{3} \right)\cos{20\pi t}$ where x and y are in cm and t in second. The distance between two adjacent nodes is

Question

Dr. Abubacker · Accepted Answer

(d) The nodes and antinodes are formed in a standing wave pattern as a result of the interface of two waves. Distance between two nodes is half wavelength ($\lambda$)
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Standerd equation of standing wave is
$y = 2_{a}\sin{\frac{2\pi x}{\gamma}\cos\frac{2\pi vt}{\gamma}}$
Where a is amplitude, the wavwlength

Q. A string vibrates according to the equation $y = 5\sin\left( \frac{2\pi x}{3} \right)\cos{20\pi t}$ where x and y are in cm and t in second. The distance between two adjacent nodes is

Explanation

Reviewed by Dr. Abubacker

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