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A proton of charge 1.6 x 10\(^{19}\)C is projected into a uniform magnetic field of...

Physics
WAEC 1998

A proton of charge 1.6 x 10\(^{19}\)C is projected into a uniform magnetic field of flux density 5.0 x 10\(^5\)T. If the proton moves parallel to the field with a constant speed of 1.6 x 10\(^6\)ms\(^{-1}\), calculate the magnitude of the force exerted on it by the field

  • A. 0.0N
  • B. 2.0 x 10-21N
  • C. 1.3 x 10-17N
  • D. 5.1 x 10-14N
  • E. 2.3 x 1013N
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Correct Answer: Option A
Explanation

F = BqvSin\(\theta\) = 5.0 x 10\(^{-5}\) x 1.6 x 10\(^{-19}\) x 10\(^6\)Sin(0)

= 1.3 x 10\(^{-17}\) x 0 = 0N

NOTE:(Since the proton moves parallel to the magnetic field,\(\theta\) = 0º


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