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Question

Two lines A and B of an X-ray give second order reflection maximum at a glancing angle of 60∘ and third order reflection maximum at an angle of 30∘ respectively from the face of the same crystal. If the wavelength of line B is 0.25 nm, then the wavelength of line A will be -

A
0.65 nm
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B
0.35 nm
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C
0.95 nm
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D
0.15 nm
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Solution

The correct option is A 0.65 nmFrom Bragg's Law, 2dsinϕ=nλ As crystal is same, d= constant ∴nλsinϕ= constant So, n1λ1sinϕ1=n2λ2sinϕ2 ⇒2×λ1sin60∘=3×0.25sin30∘ ​​​​​​​⇒λ1=0.65 nm ​​​​​​​​​​​​​​Hence, option (A) is the correct answer.

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