Q.

An electron is shot in steady electric and magnetic fields such that its velocity v, electric field E and magnetic field B are mutually perpendicular. The magnitude of E is 1volt/ cm and that of B is 2 tesla. Now it so happens that the Lorentz (magnetic) force cancels the electrostatic force on the electron, then the velocity of electron is

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a

50 m/s

b

2 m/s

c

0 . 5 cm/s

d

200 m/s

answer is A.

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Detailed Solution

v=EB=1 volt /cm2 tesla =100V/m2 tesla =50m/s
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An electron is shot in steady electric and magnetic fields such that its velocity v, electric field E and magnetic field B are mutually perpendicular. The magnitude of E is 1volt/ cm and that of B is 2 tesla. Now it so happens that the Lorentz (magnetic) force cancels the electrostatic force on the electron, then the velocity of electron is