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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 .

A

Four times the initial energy

B

Thrice the initial energy

C

Equal to the initial energy

D

Twice the initial energy

Text Solution

Verified by Experts

The correct Answer is:
B
`lamda=h/(sqrt(2mk))implieslamdaprop1/sqrtEimplieslamda_1/lamda_2=sqrt(E_2/E_1)`
`implies(10^(-10))/(0.5 xx10^(-10)) = sqrt(E_2/E_1)implies E_2 =4E_1`
energy added `=E_2-E_1 = 3E_1`
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