48 In an x ray diffraction experiment using x rays of wavele

48. In an x ray diffraction experiment, using x rays of wavelength ? = 0.500 × 10-10 m, a first order maximum occurred at 5.00° off the crystal plane. Find the distance d between crystal planes.
a. 2.87 × 10-10 m b. 1.36 × 10-10 m c. 6.24 × 10-9 m d. 1.93 × 10-9 m

Solution

The answer is a. 2.87 × 10-10 m

Bragg equation: 2d sin = n

2 x d x sin(5.00o) = 1 x 0.500 × 10-10

d = 2.87 × 10-10 m


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