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A beam of alpha particles ( q = +2e, mass = 6.64 x 10-27 kg) is accelerated from rest through a potential difference of 1.8 kV. The beam is
Question
A beam of alpha particles ( q = +2e, mass = 6.64 x 10-27 kg) is accelerated from rest through a potential difference of 1.8 kV. The beam is then entered into a region between two parallel metal plates with potential difference 120 V and a separation 8 mm, perpendicular to the direction of the field. What magnitude of magnetic field is needed so that the alpha particles emerge undeflected from between the plates?
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3 years
2021-07-20T10:47:38+00:00
2021-07-20T10:47:38+00:00 1 Answers
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Answers ( )
Answer:
The magnetic field required required for the beam not to be deflected is
Explanation:
From the question we are told that
The charge on the particle is
The mass of the particle is
The potential difference is
The potential difference between the two parallel plate is
The separation between the plate is
The Kinetic energy experienced by the beam before entering the region of the parallel plate is equivalent to the potential energy of the beam after the region having a potential difference of 1.8kV
Generelly
And
Equating this two formulas
making v the subject
Substituting value
Generally the electric field between the plates is mathematically represented as
Substituting value
the magnetic field is mathematically evaluate