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Question

Physics Question on Wave optics

The wavelength of X-rays which gives a diffraction angle, 2 θ\theta, equal to 16.8016.80^{\circ} for a first order diffraction for a crystal with interplanar distance 0.200 nm, is (given sin 8.48.4^{\circ} and 0.146)

A

0.0584 nm

B

0.1168 nm

C

0.0292 nm

D

0.2336 nm

Answer

0.0584 nm

Explanation

Solution

nλ=2dsinθ,1×λ=2×0.200sin8.4n \lambda = 2 \, d \, \sin \, \theta, 1 \times \lambda = 2 \times 0.200 \, \sin \, 8.4 or λ=2×0.2×0.146=0.0584nm\lambda = 2 \times 0.2 \times 0.146 = 0.0584 \, nm.