Answer:
a) 20 nodes b) zero nodes
Explanation:
When we have standing waves in a bend we have nodes at the ends and the equation describes the number of possible waves in the string is
L = n λ/2
Where λ is the wavelength, L is the length of the string, in our case it would be D and n is an entered. We can strip the wavelength of this expression
λ = 2L / n
Let's calculate what value of n we have for a wavelength equal to D/10
λ = 2D / n
λ = D / 10
We match and calculate
2D / n = D / 10
2 / n = 1/10
n = 20
Perform them for λ = D / 20
λ = 2D / n
2D / n = D / 20
n = 2 20 = 40
Since n is an inter there should be a wavelength for each value of n in the bone period there should be 20 different wavelengths
B) for La = 10D
2D / n = 10D
1 / n = 5
n = 1/5 = 0.2
La = 20D
2D / n = 20D
1 / n = 10
n = 1/10 = 0.1
These numbers are not entered so there can be no wave in this period
