AP EAMCET202421 May 2024Evening ShiftPhysicsMagnetic Effects of CurrentActual
A proton and an alpha particle moving with energies in the ratio 1: 4 enter a uniform magnetic field of 3 T at right angles to the direction of magnetic field. The ratio of the magnetic forces acting on the proton and the alpha particle is
Options
- A1: 2
- B1: 4
- C2: 3
- D1: 3
Correct answer
A. 1: 2
Step-by-step solution
E₁ E₂ = 1 4 1 2 m₁ v₁^2 1 2 m₂ v₂^2 = 1 4 ( 1 4 ) ( v₁ v₂ )^2= 1 4 v ₁= v ₂ Ratio of force, F₁ F₂ = B q₁ v₁ B q₂ v₂ = q₁ q₂ = 1 2