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COMEDK · Physics · 27. Dual Nature of Matter

The energy that should be added to an electron to reduce its de-Broglie wavelength from \(1 \mathrm{~nm}\) to \(0.5 \mathrm{~nm}\) is

  1. A four times the initial energy
  2. B equal to the initial energy
  3. C twice the initial energy
  4. D thrice the initial energy
Verified Solution

Answer & Solution

Correct Answer

(D) thrice the initial energy

Step-by-step Solution

Detailed explanation

Given, initial value of de-Broglie wavelength, \(\lambda_{1}=1 \mathrm{~nm}=1 \times 10^{-9} \mathrm{~m}\) Final value of de-Broglie wavelength, \(\lambda_{2}=0.5 \mathrm{~nm}=0.5 \times 10^{-9} \mathrm{~m}\) de-Broglie wavelength in terms of energy \(E\) is given as…