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An electron has mass 'M' and charge 'e'. If the electron is accelerated by electric field of strength E, then the velocity of electron after travelling a distance d is

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12th

Physics

Atoms

Introduction to Atomic Structure

An electron of mass m and c...

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Asked on October 15, 2019 by

Aatif Chris

An electron of mass m and charge q is accelerated from rest in a uniform electric field of strength E. The velocity acquired by it as it travels a distance l is

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Let the acceleration of the electron be a and its mass be m

The coulomb force helps the electron to accelerate and thus attain velocity (v).

∴ F

coulomb

=ma

qE=ma⟹a=

m

qE

........(1)

Let the velocity of the electron after travelling a distance l be v.

Also the electron is at rest initially, i.e u=0

Using: v

2

−u

2

=2al

⇒v

2

−0=2×

m

qE

l

⟹v=[

m

2qEl