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AP EAMCET201726 Apr 2017Morning ShiftPhysicsDual Nature of MatterActual

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

Options

  1. A1 : 100
  2. B1 : 10
  3. C1 : 1000
  4. D1 : 1

Correct answer

A. 1 : 100

Step-by-step solution

The de-Broglie wavelength of electron _e= h 2 m K_e K_e= Kinetic energy of electron _e^2= h^2 2 m_e K_e K_e= h^2 _e^2 2 m_e De-Broglie wavelength of photon is _p . Kinetic energy of photon aligned & K_P=h v= h c _P & K_e K_P = h^2 / _e^2 2 m_e h c / _P aligned As, _e= _p aligned & Then, K_e K_P = h c _e 2 m_e & = 6.66 10⁻³⁴ 3 10^8 1.2 10⁻¹⁰ 2 9.1 10⁻³¹ 1 100 & K_e: K_P:: 1: 100 aligned

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