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Q.

In Davisson-Germer experiment, an electron beam of $800 eV$ energy falls normally to the surface of the crystal and maximum intensity is obtained at an angle of $60 °$ to the direction of incident beam. The inter-atomic distance in the lattice plane of the crystal is

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a

$18 \overset{\circ}{A}$

b

$8 \overset{\circ}{A}$

c

$28 \overset{\circ}{A}$

d

$1 \overset{\circ}{A}$

answer is A.

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Detailed Solution

de Broglie wavelength of the electron beam $λ = \frac{12400}{800} = 15.5 Å$ .

If atomic spacing is d then $d \sin θ = m λ$ .

For $θ = 60 °$ and $m = 1$ ,

$d = \frac{λ}{\sin θ} = \frac{15.5}{\sin (60 °)} \approx 18 Å$

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In Davisson-Germer experiment, an electron beam of 800 eV energy falls normally to the surface of the crystal and maximum intensity is obtained at an angle of 60° to the direction of incident beam. The inter-atomic distance in the lattice plane of the crystal is