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MHT CET202310 May 2023Morning ShiftPhysicsDual Nature of MatterActual

An electron accelerated through a potential difference ' V₁ ' has a de-Broglie wavelength ' '. When the potential is changed to ' V ₂ ' its de-Broglie wavelength increases by 50 % . The value of ( V ₁ ~V ₂ ) is

Options

  1. A3:1
  2. B9:4
  3. C3:2
  4. D4:1

Correct answer

B. 9:4

Step-by-step solution

For electron, de Broglie wavelength, = 1.228 V Given: ₂= ₁+0.5 ₁=1.5 ₁ aligned & ₂ ₁ = V₁ V₂ & V₁ V₂ = ( ₂ ₁ )^2= ( 1.5 ₁ ₁ )^2= ( 3 2 )^2= 9 4 aligned

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