The ratio of momenta of an electron and an $\alpha$-particle which are accelerated from rest by a potential difference of $100\, volts$ is

  • A

    $1$

  • B

    $\sqrt {\frac{{2{m_e}}}{{{m_\alpha }}}} $

  • C

    $\sqrt {\frac{{{m_e}}}{{{m_\alpha }}}} $

  • D

    $\sqrt {\frac{{{m_e}}}{{2{m_\alpha }}}} $

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