Physics

Problem

An electron is accelerated from rest through a potential difference of

150\,\text{V}

. A proton is to be accelerated so that it acquires the same de Broglie wavelength as this electron. a. (i) Calculate the de Broglie wavelength of the electron after acceleration through

150\,\text{V}

. Take

m_e = 9.1\times10^{-31}\,\text{kg}

and

e = 1.6\times10^{-19}\,\text{C}

. b. (ii) Determine the potential difference through which the proton must be accelerated to possess the same de Broglie wavelength. Take

m_p = 1.67\times10^{-27}\,\text{kg}

and

e = 1.6\times10^{-19}\,\text{C}

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