Suppose you have a string of length LaTeX: LL clamped down on both sides. Is it possible for the wavelength of a standing wave on this string to equal LaTeX: L/3L / 3

Explanation:

For a string of length L clamped down on both ends , for fundamental mode of vibration

2 . λ / 4 = L

= λ / 2 = L

λ = 2 L

For other modes , the formula is

n . λ/2 = L where n is an integer .

λ = 2L / n

if n = 6

λ = 2L / 6

= L/3

So wavelength = L/3 is possible .

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