Find the phase difference in terms of d, lambda, theta

[joelkato1605]

Homework Statement

Referring to Figure 4.8, what is the phase difference φ between S¯1 and S¯2 in terms of d,
θ and λ.

Relevant Equations

See attached image.

So in figure 4.8 the path difference between the two waves is d*sin(theta), then is the phase difference just (d*sin(theta)*2*pi)/lambda?

 

[TSny]

So in figure 4.8 the path difference between the two waves is d*sin(theta)

This is a good approximation for the path difference when $d << x$.

then is the phase difference just (d*sin(theta)*2*pi)/lambda?

Yes