Question

When a charged particle moving with velocity $bold v with bold rightwards arrow on top$ is subjected to a magnetic field of induction $straight B with rightwards arrow on top$ , the force on it is non-zero. This implies that

angle between $straight v with rightwards arrow on top space and space straight B with rightwards arrow on top$ is necessarily $90 degree$

angle between $straight v with rightwards arrow on top space and space straight B with rightwards arrow on top$ can have any value other than $90 degree$

angle between $straight v with rightwards arrow on top space and space straight B with rightwards arrow on top$ can have any value othe than zero and $180 degree$

angle between $straight v with rightwards arrow on top space and space straight B with rightwards arrow on top$ is either zero or $180 degree$

Solution

angle between $straight v with rightwards arrow on top space and space straight B with rightwards arrow on top$ can have any value othe than zero and $180 degree$

When a charged particle q is moving in a uniform magnetic field $straight B with rightwards arrow on top$ with velocity $straight v with rightwards arrow on top$ such that angle between $straight v with rightwards arrow on top space and space straight B with rightwards arrow on top$ be $straight theta$ , then due to interaction between the magnetic field produced due to moving charge and magnetic field applied, the charge q experiences a force which is given by
$straight F space equals space qvB space sinθ$
$If space space space straight theta space equals space 0 degree space space or space space 180 degree comma space space then space sin space straight theta space equals space 0 therefore space space space space straight F equals space qvB space sin space straight theta space equals space 0$
Since, force on charged particle is non-zero, so angle between $straight v with rightwards arrow on top space and space straight B with rightwards arrow on top$ can have any value other than zero and $180 degree$

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Electric Charges And Fields

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?

Figure shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?

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