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Official PYQ · 2017

GATE EC 2017 Set 2 Q53 — Electronic Devices

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An electron (q1)(q_1) is moving in free space with velocity 10510^5 m/s towards a stationary electron (q2)(q_2) far away. The closest distance that this moving electron gets to the stationary electron before the repulsive force diverts its path is ____________×10−8\times 10^{-8} m.

[Given, mass of electron m=9.11×10−31m=9.11\times 10^{-31} kg, charge of electron e=−1.6×10−19e=-1.6\times 10^{-19} C, and permittivity ε0=(1/36π)×10−9\varepsilon _0=(1/36\pi)\times 10^{-9} F/m]
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Answer: 4.55:5.55

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