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If an electron is not deflected in passi...

If an electron is not deflected in passing through a certain region of space can we be sure that there is no magnetic field in that region?

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No, electron would not be deflected if `vecv` and `vecB` are in the same direction. Further the electron would not be delfected if in addition to magnetic field, there is electric field present. THe two deflecting forces may cancel the effect of each other, giveing net Lorentz Force zero.
i.e. `qvecE+q(vecvxxvecB)=0`
If both `vecE` and `vecB` are present then `vecv` and `vecB` can make any angle between them but the `vecE` should be perpendicular both to `vecv` and `vecB`. As a special case you can say that all three velotors should be perpendicular for no deflection of the charge.
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Knowledge Check

  • An electron is not deflected on passing through a certain region , because

    A
    there is magnetic field in that region and the electron enters into it in any direction .
    B
    there may be magnetic field but the velocity of electron may be parallel to the direction of magnetic field
    C
    electron is an charge-less particle
    D
    there is electric field and the electron enters into it in any direction

  • An electron is not deflected on passing through a certain region, because

    A
    there is no magnetic filled in that region
    B
    thre is a magnetic field but velocity of the electron is parallel to the direction of magnetic field
    C
    the electron is a chargeless particle
    D
    None of the above

  • Assertion : An electron is not deflected on passing through certain region of space. This observation confirms that there is no magnetic field in that region. Reason : The deflection of electron depends on angle between velocity of electron and direction of magnetic field

    A
    If both assertion and reason are true and the reason is the correct explanation of the assert ion.
    B
    If both assertion and reason are true but reason is not the correct explanation of the assertion.
    C
    If assertion is true but reason is false.
    D
    If assertion is false but reason is true.