By what potential difference must a proton [m_0 = 1.67e-27 kg) be accelerated to have a wavelength lambda = 4.23e-12 m? by what potential difference must an electron [m_0 = 9.11e-31 kg), be accelerated to have a wavelength lambda = 4.23e-12 m?

Explanation:

1. Mass of the proton,

Wavelength,

We need to find the potential difference. The relationship between potential difference and wavelength is given by :

V = 45.83 volts

2. Mass of the electron,

Wavelength,

We need to find the potential difference. The relationship between potential difference and wavelength is given by :

V = 84109.27 volt

Hence, this is the required solution.

one "light year" is the distance that light travels, through vacuum, in one julian year.   that's 365.25 days, of 24 hours each.