An x-ray beam with wavelength 0.240 nmnm is directed at a crystal. As the angle of incidence increases, you observe the first strong interference maximum at an angle 66.0 ∘∘. What is the spacing ddd between the planes of the crystal?

The spacing between the planes of the crystal is 0.295 nm

Explanation:

Given:

λ = wavelength = 0.24 nm

θ = angle of incidence = 66°

The spacing d between the planes of the crystal is equal:

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day