The figure below shows tracks of three charged particles in a uniform electrostatic field. Which particle has the highest charge to the mass ratio?
2
3
1
1 and 3
The vertical deflection of a charged particle moving perpendicularly into a uniform electric field is given by . Since and , the deflection is . This shows that the deflection is directly proportional to the charge-to-mass ratio (), assuming the initial velocity and horizontal distance are comparable. From the figure (NCERT Physics Class 12, Fig 1.30), particle 3 suffers the maximum deflection, indicating it has the highest magnitude of charge to mass ratio. (See NCERT Physics Class 12, Exercise 1.13).
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