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The differaction of barium with X-cadiat...

The differaction of barium with X-cadiation of wavelength `227` pm given a first - order differaction at `30^(@)` .Thus , distance between the two plannes is

A

`114.5` pm

B

`229` pm

C

`458` pm

D

`227` pm

Text Solution

Verified by Experts

The correct Answer is:
d

By Bragg's equation
` 2a sin theta = n lambda`
`n = 1` (first order difference)
` lambda = 229` pm
`sin theta = sin 30^(@) = (1)/(2)`
`a = (n lambda)/( 2sin theta) = (1 xx 217 "pm")/(2 xx (1)/(3)) = 227` pm
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