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Two point sources are vibrating in phase producing two-dimensional water wave interference. The first antinodal line on either side of the central maximum will occur at locations where the path difference of the arriving waves is:
Question 9 options:

A)

1/4 λ

B)

1/2 λ

C)

3/4 λ

D)

λ

E)

2λ

Respuesta :

For all antinodal positions we know that

[tex]\Delta \phi = 2N\pi[/tex]

now we also know the relation between phase difference and path difference

[tex]\Delta \phi = \frac{2\pi}{\lambda}\Delta x[/tex]

now we will have

[tex]2N\pi = \frac{2\pi}{\lambda}\Delta x[/tex]

now from above equation we will have

[tex]\Delta x = N\lambda[/tex]

now for the first anti node position

N = 1

[tex]\Delta x = \lambda[/tex]

Option D is correct

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