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Direction : The questions 62 and 63 are based on following paragraph : de-Broglie wave associated with electron forms a standing wave when distance (d) between atoms of the array of material is 2Å. A similar standing wave is again formed, when distance is increased to 2.5Å. Least value of distance (d) for which standing wave can be formed is

Answer»

`0.2Å`
`0.3Å`
`0.4Å`
`0.5Å`

Solution :INTER atomic SPACING,
`d=(nlambda)/(2)`
`d_(1)=(nlambda)/(2),d_(2)=(n+1)lambda//2`
`:. lambda//2=d_(2)-d_(1)`
`rArr lambda=2(d_(2)-d_(1))`
`rArr lambda=2(2.5-2)Å=1Å`
`:.d_("min")=lambda//2=(1)/(2)Å=0.5Å`


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