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The charge of magnitude 1.6 x 10 \(^{-19}\)C is placed in a uniform electric field...

Physics
JAMB 2024

The charge of magnitude 1.6 x 10 \(^{-19}\)C is placed in a uniform electric field of intensity 1200Vm\(^{-1}\). Calculate its acceleration, if the mass of the charge is 9.1 x 10\(^{-31}\)kg

  • A. 2.11 x 10\(^{14}\)ms\(^{-2}\)
  • B. 2.11 x 10\(^{13}\)ms\(^{-2}\)
  • C. 1.20 x 10\(^{14}\)ms\(^{-2}\)
  • D. 1.20 x 10\(^{13}\)ms\(^{-2}\)
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Correct Answer: Option A
Explanation

Electric field intensity (E) = \(\frac{\text{force}}{\text{charge}}\) = \(\frac{\text{F}}{\text{q}}\)

Given: E = 1200Vm\(^{-1}\), q = 1.6 x 10 \(^{-19}\)C, m = 9.1 x 10\(^{-31}\)kg

F = E x q

F = 1.6 x 10\(^{-19}\) x 1200 = 1.92 x 10\(^{-16}\)N

F = ma

a = \(\frac{F}{m}\) = \(\frac{1.92\times 10^{-16}}{9.1\times 10^{-31}}\) \(\approxeq\) 2.11 x  10\(^{14}\)ms\(^{-2}\)

There is an explanation video available below.


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Explanation Video

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