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AP EAMCET202421 May 2024Morning ShiftPhysicsMagnetic Effects of CurrentActual

When an electron placed in a uniform magnetic field is accelerated from rest through a potential difference V ₁ , it experiences a force F . If the potential difference is changed to V ₂ , the force experienced by the electron in same magnetic field is 2 F , then the ratio of potential differences V ₂ ~V ₁ is

Options

  1. A2: 1
  2. B1: 4
  3. C4: 1
  4. D1: 2

Correct answer

C. 4: 1

Step-by-step solution

K E = 1 2 mv ^2= eV v = 2 eV m Force on electron in magnetic field is aligned & F = eVB = e ( 2 eV ~m ) B ~F ~V & ~F ₂ ~F ₁ = V ₂ ~V ₁ ~V ₂ ~V ₁ = ( F ₂ ~F ₁ )^2= ( 2 ~F ~F )^2=4: 1 aligned

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