AP EAPCET 18 May 2024 Shift 1 Solved Paper

To find the distance between the layers in a crystalline solid that produces a diffraction peak at 2θ=60∘, we first need to determine θ. Given that 2θ=60∘, it follows that θ=30∘.
Then, we use Bragg's law for diffraction, which is:
nλ=2dsin‌θ
Given:
Wavelength of X-rays, λ=1.54Å=1.54×10−10m
Order of reflection, n=1
sin‌30∘=0.5
Rearranging Bragg's law to solve for d, we have:
d=‌

nλ

2sin‌θ

Substituting the given values into the equation:
d=‌

1×1.54×10−10

2×0.5

=‌

1.54×10−10

1

=1.54×10−10m=1.54×10−8cm
Thus, the distance between the layers is 1.54×10−8cm.