Question
An electron enters a region where magnetic $(B)$ and electric $(E)$ fields are mutually perpendicular to one another, then
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Answer
when electrons enter in a region where there is only magnetic field, then force exerted by the magnetic field will deflect the electron in a direction perpendicular to its motion and also perpendicular to the magnetic field. Whereas in the presence of electric field, force exerted by the electric field is in a direction opposite to the direction of electric field. As a result, electron deflected by magnetic field is nullified by the deflection by electric field. As a result, electron moves undeflected.
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