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BITSAT2011PhysicsDual Nature of MatterActual

An electron, in a hydrogen-like atom, is in an excited state. It has a total energy of -3.4 eV . The kinetic energy and the de-Broglie wavelength of the electron are respectively

Options

  1. A+3.4 eV , 0.66 10⁻⁹ ~m
  2. B-3.4 eV , 1.99 10⁻⁹ ~m
  3. C2.8 eV , 2.38 10⁻¹⁰ ~m
  4. D1.1 eV , 1.28 10⁻⁹ ~m

Correct answer

A. +3.4 eV , 0.66 10⁻⁹ ~m

Step-by-step solution

E_ n =-3.4 eV The kinetic energyis equal to the magnitude of total energy in this case. K.E =+3.4 eV The de Broglie wavelength of electron aligned = h 2 m K &= 6.64 10⁻³⁴ 2 9.1 10⁻³¹ 3.4 1.6 10⁻¹⁹ eV &=0.66 10⁻⁹ ~m aligned

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