Q72 · Practice questionComplex unfamiliar5 marks
QUESTION 72 (5 marks)
A proton enters a uniform magnetic field at perpendicular to the field. Show that the magnetic force can provide the centripetal force, then determine the radius of the proton’s circular path and its orbital period.
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
; .
Worked solution
For perpendicular motion, . In uniform circular motion . Setting these equal:
Thus
The period is
Equates magnetic and centripetal force.
Derives radius expression.
Calculates radius.
Uses period/speed relationship.
Calculates period.
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