In the Davisson-Germer experiment using a nickel crystal, a second-order beam is observed at an angle of 55 degrees. For what value of acclerating voltage does this occur?

Stacy Barr

Stacy Barr

Answered question

2022-09-24

In the Davisson-Germer experiment using a nickel crystal, a second-order beam is observed at an angle of 55 degrees. For what value of acclerating voltage does this occur?

Answer & Explanation

Simeon Hester

Simeon Hester

Beginner2022-09-25Added 16 answers

θ = 55 m
n=2 (for second order)
d = 0.91 A (Nickel lattice spacing)
Bragg's Law: It is used to find the wavelength.
n λ = 2 d sin ( θ )
Plugging given values we get,
2 λ = 2 × 0.91 × 10 10 sin ( 55 ) λ = 0.91 × 10 10 × 0.819 = 0.74 A
de Broglie equation:
λ = h 2 m e V = 12.27 V
Plugging value of wavelength we get accelerating voltage,
0.74 A = 12.27 V A V = 12.27 0.74 V = ( 16.6 ) 2 = 275.6 V
A Second-order beam is observed at accelerating voltage 275.6 V.

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