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Answer:
PART A: option b. .43nm
PART B: option d. 0.11nm
PART C: option c. The wavelengths of visible light are too long compared to the atomic spacing.
Explanation:
Given data
Wavelength λ = 0.20 nm
Angle θ = 0.8 rad
(a)
wavelength of x-ray to give maximum at the same location
λ₂ = m λ
Here, m = 2 is the interference fringe order.
Substitute the values in the above equation.
λ₂ = 2 × 0.2
= 0.4 nm
Hence, the wavelength of x-ray to give maximum at the same location is 0.4nm
(b)
The crystal plane separation is equal to d
The value of θ is equal to 0.8 rad.
Convert rad into degree as follows:
0.8 rad = = 144°/π = 45.86°
Solve for d, using equation (1) as follows:
2dsinθ = mλ
d = mλ / 2sinθ
d = (1) 0.17 / 2Sin45.86°
d = 0.17 / 1.9065
d = 0.089 nm
(c)
The visible light can not be used to study the structure of proteins because of the high wavelength of the visible light.