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Wave property of electron implies that they will show diffraction effected . Davisson and Germer demonstrated this by diffracting electron from crystals . The law governing the diffraction from a crystals is obtained by requiring that electron waves reflected from the planes of atoms in a crystal inter fere constructiely

Electron accelerated by potential `V` are diffracted from a crystal if `d = 1 Å and i = 30^(@), V` should be about `(h = 6.6 xx 10^(-34) Js, m_(e) = 9.1 xx 10^(-31) kg , e = 1.6 xx 10^(-19)C)`

A

`2000 V`

B

`50 V`

C

`500 V`

D

`1000 V`

Text Solution

Verified by Experts

The correct Answer is:
B
Using Bragg's equation `2d sin theta = n lambda`
`Hrer n = 1 , theta = 90 - 1 = 90 - 30 = 60^(@)`
`2d sin theta = lanbda ` …..(i)

Also ` lambda = (12.27)/(sqrt(V)) xx 10^(-10) m` ……(ii)
`from (i) and (ii) ` 2 xx 10^(-10) xx sin 60^(@)= (12.27)/(sqrt(V)) xx 10^(-10)`
`v = ((12.27)^(2))/(3) = 50 V`
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