Two α-particles have the ratio of their velocities as 3 : 2 on entering the field. If they move in different circular paths, then the ratio of the radii of their paths is:
Correct answer: B. 3 : 2
- A. 2 : 3
- B. 3 : 2
- C. 4 : 9
- D. 9 : 4
Explanation
FC = FM mv2/r = qvB r = mv/qB r1/r2 = v1/v2 Given; v1/v2 = 3/2 So; r1/r2 = 3/2 The ratio of the radii of the circular paths of two charged particles moving in a magnetic field is given by the ratio of their velocities and the ratio of the charges. Since the two alpha particles have the same charge, the ratio of radii is only dependent on the ratio of their velocities. Given that the ratio of velocities of the two alpha particles is 3:2. Therefore, the ratio of the radii of their circular paths will also be 3:2.
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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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