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Find out the energy that should be added...

Find out the energy that should be added to an electron is terms of initial energy to reduce its de Broglie wavelengths from ` 10^(-10) " m to " 0.5 xx 10^(-10)` m .

Text Solution

Verified by Experts

`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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