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MHT CET · Physics · Dual Nature of Matter

If \(E_p\) and \(E_e\) represent kinetic energy of photon and electron respectively. If de-Broglie wavelength \(\lambda_p\) of a photon is twice the de-Broglie wavelength \(\lambda_e\) of electron, then \(E_e / E_p\) is (Speed of electron \(=\frac{\mathrm{C}}{100}\), where 'C' is the velocity of light)

  1. A \(2 \times 10^{-2}\)
  2. B \(1 \times 10^{-2}\)
  3. C \(4 \times 10^{-2}\)
  4. D \(8 \times 10^{-2}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1 \times 10^{-2}\)

Step-by-step Solution

Detailed explanation

\(E_p = \frac{hc}{\lambda_p}\) \(E_e = \frac{1}{2}m_e v_e^2\)