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AP EAMCET · PHYSICS · Dual Nature of Matter

Both an electron and a photon have same de-Broglie wavelength of \(1.2 Å\). The ratio of their energies is nearly

  1. A 1 : 100
  2. B 1 : 10
  3. C 1 : 1000
  4. D 1 : 1
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Correct Answer

(A) 1 : 100

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The de-Broglie wavelength of electron \[ \lambda_e=\frac{h}{\sqrt{2 m K_e}} \] \(K_e=\) Kinetic energy of electron \[ \lambda_e^2=\frac{h^2}{2 m_e K_e} \Rightarrow K_e=\frac{h^2}{\lambda_e^2 \cdot 2 m_e} \] De-Broglie wavelength of photon is \(\lambda_p\). Kinetic energy of…
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