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An electron moving with speed v₁ has wavelength ₁ and another electron moving with speed v₂ has wavelength ₂ , find (v₁^2-v₂^2 ) . ( m_e= mass of electron)

Options

  1. A2 h m_e ( 1 ₂ - 1 ₁ )^2
  2. B2 h m_e ( 1 ₂ - 1 ₁ )
  3. Ch^2 m_e ( 1 ₂ - 1 ₁ )
  4. Dh^2 2 m_e ( 1 ₁^2 - 1 ₂^2 )

Correct answer

D. h^2 2 m_e ( 1 ₁^2 - 1 ₂^2 )

Step-by-step solution

v₁^2-v₂^2= p₁^2 2 m_e - p₂^2 2 m_e = h^2 2 m_e ( 1 ₁^2 - 1 ₂^2 )

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