An electron is released from rest in a uniform electric field.If the electric field is 3.65 kN/C,at the end of 15 ns the electron's velocity will be approximately A)9.6 $\times$ 10⁶ m/s B)3.9 $\times$ 10³ m/s C)3.1 $\times$ 10⁸ m/s D)5.5 $\times$ 10³ m/s E)7.4 $\times$ 10⁶ m/s

Question

Quizplus · Accepted Answer

Explanation:The acceleration of the electron is given by:a = eE / mwhere:e is the charge of the electronE is the electric fieldm is the mass of the electronThe velocity of the electron after time t is given by:v = atwhere:v is the velocity of the electrona is the acceleration of the electront is the timeSubstituting the values given in the question, we get:a = (1.602 x 10^-19 C)(3.65 x 10^3 N/C) / (9.109 x 10^-31 kg) = 6.45 x 10^14 m/s^2v = (6.45 x 10^14 m/s^2)(15 x 10^-9 s) = 9.675 x 10^6 m/sTherefore, the electron's velocity at the end of 15 ns is approximately 9.675 x 10^6 m/s, which is closest to choice A.

An Electron Is Released from Rest in a Uniform Electric ×\times×

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