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Question

# Two insulating plates, both uniformly charged in such a way that the potential difference between them is V2−V1=20 V. 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 the plate 2? [e=1.6×10−19 C and me=9×10−31 kg]

A
2.7×106 m/s
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B
1.8×106 m/s
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C
1.6×106 m/s
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D
1.2×106 m/s
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Solution

## The correct option is A 2.7×106 m/sGiven, potential difference between the plates is, V=V2−V1=20 V From work-energy theorem, Work done by all the forces = charge in KE ⇒eV=12mv2−12mu2 ⇒eV=12mv2−0 ⇒v=√2eVm=√2×1.6×10−19×209×10−31 ⇒v=2.7×106 m/s

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