A beam of ions each carrying a charge of3.2X1019 C and of mass 3.3 x 1027 kg are accelerated through a pd of 2.0x10' V to enter an evacuated region in a direction at right angles to a uniform magnetic field. The beam is observed to be deflected into a circular path of radius 9.4x102 m. (1) Calculate the magnitude of the magnetic flux density in the region. (ii) What would have been the shape of the ions' path in the same field if the ions had entered the field with a uniform deceleration and in the same direction as before?

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A beam of ions each carrying a charge of3.2X1019 C and of mass 3.3 x 1027 kg are
accelerated through a pd of 2.0x10 V to enter an evacuated region in a direction at right
angles to a uniform magnetic field. The beam is observed to be deflected into a circular path
of radius 9.4x10² m.
(1) Calculate the magnitude of the magnetic flux density in the region.
(ii) What would have been the shape of the ions' path in the same field
if the ions had entered the field with a uniform deceleration and in
the same direction as before?
Transcribed Image Text:A beam of ions each carrying a charge of3.2X1019 C and of mass 3.3 x 1027 kg are accelerated through a pd of 2.0x10 V to enter an evacuated region in a direction at right angles to a uniform magnetic field. The beam is observed to be deflected into a circular path of radius 9.4x10² m. (1) Calculate the magnitude of the magnetic flux density in the region. (ii) What would have been the shape of the ions' path in the same field if the ions had entered the field with a uniform deceleration and in the same direction as before?
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