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An electron is accelerated from rest thr...

An electron is accelerated from rest through a potential difference of V volt. If the de Broglie wavelength of the electron is `1.227 xx 10^(-2)` nm, the potential difference is:

A

`10^(2) V`

B

`10^(3)` V

C

`10^(4)` V

D

10 V

Text Solution

Verified by Experts

The correct Answer is:
C
De-broglie wavelength of the electron
`lambda = (12.27)/(sqrt(v))Å` where, v is potential difference
`sqrt(v) = (12.27 xx 10^(-10))/(1.227 xx 10^(-11)) = 10^(2)`
`therefore v = 10^(4)` volts
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Knowledge Check

  • Wavelength of an electron accelerated through a potential difference of 1 volt is

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