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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

Text Solution

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`lambda=h/sqrt(2mE)`
`rArr lambda prop 1/sqrtE`
`lambda_1/lambda_2=sqrt(E_2/E_1)`
`rArr 10^(-10)/(0.5xx10^(-10))=sqrt(E_1/E_2)`
`rArr E_2=4E_1 `
hence , added energy =`E_2-E_1=3E_1`
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