What is the length of a string that has a standing wave with four nodes (including those at the ends) and lambda = 24 {\rm cm}
4 nodes means 1.5 wavelengths
Therefore length = 24cm * 1.5
See here for concept: physics.info/waves-standing/
(add the w w w in front)
To find the length of a string that has a standing wave with four nodes, including those at the ends, and a wavelength (λ) of 24 cm, you can use the formula:
L = (n + 1/2) * λ/2
Where L is the length of the string, n is the number of nodes (excluding the ends), and λ is the wavelength.
In this case, n = 4 (since there are four nodes, including the ends), and λ = 24 cm. Substituting these values into the formula:
L = (4 + 1/2) * 24/2
L = 4.5 * 12
L = 54 cm
Therefore, the length of the string is 54 cm.