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CSS Physics QUESTION #1177
Question 1
A photon having the same energy as an electron has wavelength __________ as electron's De Broglie wavelength.
  • Shorter
  • Longer✔️
  • Same
  • None of these
Correct Answer Explanation
For an electron: \(\lambda_e = \frac{h}{\sqrt{2m_eE}}\). For a photon: \(\lambda_{ph} = \frac{hc}{E}\). Ratio: \(\frac{\lambda_{ph}}{\lambda_e} = \frac{hc}{E} \cdot \frac{\sqrt{2m_eE}}{h} = c\sqrt{\frac{2m_e}{E}}\). For typical energies, this ratio \(\gg 1\), meaning the photon's wavelength is much longer than the electron's De Broglie wavelength at the same energy.