An electrically charged particle enters into a uniform magnetic induction field in a direction perpendicular to the field with a velocity $ v $ . Then, it travels
in a circular path with a radius directly proportional to $ v^{2} $
in a circular path with a radius directly proportional to its velocity
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The Correct Option isD
Solution and Explanation
By motion of charged particles in uniform magnetic field
$r=\frac{m v}{q B}$
So, $r \propto v$
It travels in a circular path with a radius directly proportional to its velocity.
The magnetic field is a field created by moving electric charges. It is a force field that exerts a force on materials such as iron when they are placed in its vicinity. Magnetic fields do not require a medium to propagate; they can even propagate in a vacuum. Magnetic field also referred to as a vector field, describes the magnetic influence on moving electric charges, magnetic materials, and electric currents.
A magnetic field can be presented in two ways.
Magnetic Field Vector: The magnetic field is described mathematically as a vector field. This vector field can be plotted directly as a set of many vectors drawn on a grid. Each vector points in the direction that a compass would point and has length dependent on the strength of the magnetic force.
Magnetic Field Lines: An alternative way to represent the information contained within a vector field is with the use of field lines. Here we dispense with the grid pattern and connect the vectors with smooth lines.
