Question

X-rays having a wavelength of 0.140 nm are scattered from a target. Estimate the wavelength of the X-ray that are scattered at an angle of 90∘.​

Answer 1

0.142nm

For ϕ=90,cosϕ=0

So, λ

′

=λ+

m

e

c

h

=0.140×10

−9

+

9.1×10

−31

3×10

8

6.63×10

−34

=(0.140×10

−9

+2.4×10

−12

)m

=0.142nm

Answer 2

Answer:

Using Compton formula for scattering,

λf−λi=mech(1−cosθ)

Here, θ=900⟹cosθ=0

So, λf=0.14n−m+9.1×10−31×3×1086.6×10−34=0.14n−m+0.0024n−m=0.142n−m

Explanation:

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