Solution:
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We will first determine the velocity that a
ion have after being accelerated by a 10 kV potential difference. Let us assume
that the speed acquired is non-relativistic. That is

Mass of a
ion will
be

Kinetic energy of a
ion of
charge +e after falling across a potential difference of 10 kV will be

Velocity of
ion, when
it enters the region where uniform electric and magnetic fields perpendicular to
the velocity vector of the charged ion and orthogonal to each other, will be

For
ions to
go through undeflected in the region of uniform electric and magnetic fields the
condition to be fulfilled is

or

Magnetic field through which the
ions move
is

Therefore, the electric field has to be

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