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KCET2007PhysicsDual Nature of Matter

The de-Broglie wavelength of a proton (charge =16 . 10⁻¹⁹ C , mass .=16 . 10⁻²⁷ ~kg ) accelerated through a potential difference of 1 kV is

Options

  1. A600 Å
  2. B09 . 10⁻¹² ~m
  3. C7 Å
  4. D0.9 ~nm

Correct answer

B. 09 . 10⁻¹² ~m

Step-by-step solution

According to de-Broglie hypothesis aligned &= h p = h 2 m E = h 2 m q V &= 6.6 10⁻³⁴ 2 (1.6 10⁻²⁷ ) (1.6 10⁻¹⁹ ) 1000 &= 6.6 10⁻³⁴ 7.16 10⁻²² &=0.9 10⁻¹² ~m aligned

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