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In an electron microscope, the electrons...

In an electron microscope, the electrons are accelerated by a voltage of 14kV. If the voltage is changed to 224 kV, then the de Broglie wavelength associated with the electrons would

A

increase by 2 times

B

decrease by 2 times

C

decrease by 4 times

D

increase by 4 times

Text Solution

Verified by Experts

At voltage, V=14 kV
de-Broglie wavelength of electron, `lambda=(12.3)/sqrt(14000) Å=0.104 Å`
At voltage, V=224kV
`lambda.=(12.3)/sqrt(224000) Å=0.026Å`
`lambda/(lambda.)=(0.104)/(0.0260)=4 rArr 4lambda. rArr lambda.=lambda/4`
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