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Two insulating plates are both uniformly charged in such a way that the potential difference between them is V₂-V₁=20 ~V . (i.e. plate 2 is at a higher potential). The plates are separated by d=0.1 ~m and can be treated as infinitely large. An electron is released from rest on the inner surface of plate 1 . What is its speed when it hits plate 2 ? ( e =1.6 10⁻¹⁹ C , m _ e =9.11 10⁻³¹ ~kg )

Options

  1. A32 10⁻¹⁹ ~m / s
  2. B2.65 10^6 ~m / s
  3. C7.02 10¹² ~m / s
  4. D1.87 10^6 ~m / s

Correct answer

B. 2.65 10^6 ~m / s

Step-by-step solution

1 2 mv ^2= eV v = 2 eV m =2.65 10^6 ~m / s

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