An electron is accelerated through a potential difference of 81V. What is the de Broglie wavelength associated with it? To which part of electromagnetic spectrum does this wavelength corresspond ?

Explanation

An electron is accelerated through potential difference V = 81 V
de Broglic wavelength associated with V `lamda` = ?
` lamda = h/sqrt(2mE) = h/sqrt(2 mq V)`
For electrom.
`lamda_e = h/sqrt(2meV)`
`(6.6xx10^(-34))/sqrt(2xx9.1xx10^(-31)xx1.6xx10^(-19)xx81)`
`= (6.6xx10^(-34))/sqrt(2358.7xx10^(-50))`
`(6.6 xx10^(-34))/(48.57xx10^(-25))=0.1358xx10^(-9)`
`1.36 xx10^(-10)m`(or)`1.36Å`
The electromagnetic spectrum associated with it.