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The energy that should be added to an el...

The energy that should be added to an electron, to reduce its de-Broglie wavelengths from `10^(-10) m` to `0.5 xx 10^(-10)` m wil be

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` lambda = (h)/(sqrt(2 mE)) `
` rArr lambda oo = (1)/(sqrt(E))`
` (lambda_(1))/(lambda_(2)) = sqrt((E_(2))/(E_(1))) `
` rArr (10^(-10))/(0.5xx 10^(-10)) = sqrt((E_(1))/(E_(2)))`
` rArr E_(2) = 4E_(1)`
Hence , added energy ` = E_(2) - E_(1) = 3E_(1)`
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