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NEET Physics QUESTION #1056
Question 1
A photon and electron (mass \(m\)) have same energy \(E\). Ratio \(\lambda_{photon}/\lambda_{electron}\) is (\(c\) = speed of light):
  • \(c\sqrt{\dfrac{2m}{E}}\)✔️
  • \(\dfrac{1}{c}\sqrt{\dfrac{E}{2m}}\)
  • \(\sqrt{\dfrac{E}{2m}}\)
  • \(c\sqrt{2mE}\)
Correct Answer Explanation
Photon: \(\lambda_{ph}=\frac{hc}{E}\). Electron (non-relativistic): \(\lambda_{el}=\frac{h}{\sqrt{2mE}}\). Ratio: \(\frac{\lambda_{ph}}{\lambda_{el}}=\frac{hc}{E}\cdot\frac{\sqrt{2mE}}{h}=\frac{c\sqrt{2mE}}{E}=c\sqrt{\frac{2m}{E}}\).