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Q.

The first order diffraction of x-rays from a certain set of crystal planes occurs at an angle of 11.8 from the planes. If the planes are 0.281 nm apart, the wavelength of x-rays is

(sin11.8°=0.2, sin 5.9°=0.103)

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a

0.0578 nm

b

0.578 nm

c

0.1149 nm

d

1.124 nm

answer is A.

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Detailed Solution

Given: n=1, d=0.281×10-9 m,θ=11.8

2d sinθ=

λ=2×0.281×10-9×sin11.81

λ=2×0.281×10-9×0.2044=0.1149 nm

Therefore, the correct option is (A).

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