A proton (mass m and charge +e) and an α- particle (mass 4m and charge +2e) are projected with the same kinetic energy at right angles to the uniform magnetic field. Which one of the following statements will be true:
Correct answer: C. The α- particle and the proton will be bent in a circular path with the same radius
- A. The α-particle will be bent in a circular path with a small radius than that of the proton
- B. The radius of the path of the α-particle will be greater than that of the proton
- C. The α- particle and the proton will be bent in a circular path with the same radius
- D. The α- particle and the proton will go through the field in a straight line
Explanation
Given than Kₚ = KₐWe know that r = mv/qB = (2mK)^(1/2)/qB∴ rₚ = (2mₚ Kₚ)^(1/2) / qₚ B and rₐ = (2mₐ Kₐ)^(1/2) / qₐ BNow rₚ/rₐ = √[(mₚ/mₐ) × (qₐ/qₚ)] = √[(mₚ/4mₚ) × (2e/e)] = 1
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About Electromagnetism
Magnetic flux density and magnetic flux describe the strength of a magnetic field and the field passing through a surface. A charged particle moving through a magnetic field experiences a force perpendicular to its velocity and may follow circular or helical motion, depending on the angle between velocity and field.
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