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  • The kinetic energy of a proton and that of an -particle are 4 eV and 1 eV, respectively. The ratio of the de-Broglie wavelengths associated with them, will be O

The kinetic energy of a proton and that of an \alpha-particle are 4 eV and 1 eV, respectively. The ratio of the de-Broglie wavelengths associated with them, will be
Option: 1 2:1
Option: 2 1:1
Option: 3 1:2
Option: 4 4:1

Answers (1)

\lambda = \frac{h}{p}= \frac{h}{mv}= \frac{h}{\sqrt{2mE}}

\frac{\lambda_p}{\lambda_{\alpha}}=\sqrt{\frac{m_{\alpha}E_{\alpha}}{m_pE_p}}=\sqrt{\frac{4m_{p}\times1eV}{m_p4eV}}=\frac{1}{1}

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Safeer PP

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