Electrons are acceleratred by a voltage , `V=50 kV =50xx10^(3) V`
Charge on an electron , `e=1.6xx10^(-19) C`
Mass of an electron , `m_e=9.11xx10^(-31) kg`
Wavelength of yellow light =`5.9xx10^(-7)` m
The kineti energy of the electron is given as : E=eV
`=1.6xx10^(-19)xx50xx10^3`
`=8xx10^(-15) J`
De Broglie wavelength is given by the relation :
`lambda=h/sqrt(2mE)`
`=(6.6xx10^(-34))/sqrt(2xx9.11xx10^(-31)xx8xx10^(-15))`
`=5.467xx10^(-12)` m
This wavelength is nearly `10^5` times less than the wavelength of yellow light. The resolving power of a microscope is inversely proportional to the wavelength of light used. Thus , the resolving power of an electron microscope is nearly `10^5` times that of an optical microscope.