Question:

When a charged particle moving with velocity is subjected to a magnetic field of induction \(\rightarrow\) B , the force on it is non-zero. This implies that :

Updated On: Oct 19, 2023
  • Angle between \(\rightarrow\) B and \(\rightarrow\) V is necessarily 90°
  • Angle between \(\rightarrow\) B and \(\rightarrow\) V can have any value other than 90°
  • Angle between \(\rightarrow\) B and \(\rightarrow\) V can have any value other than Zero and 180°
  • Angle between \(\rightarrow\) B and \(\rightarrow\) V is either Zero 180°
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The Correct Option is C

Solution and Explanation

Force on a charged particle moving in a magnetic field is  F = q(vB) 
So, if v and B are at an angle, F 
= qvBsin\(\theta\) 
= 0, sin = 0 = 0,180.

Therefore, the correct option is (C): Angle between \(\rightarrow\) B and \(\rightarrow\) V can have any value other than Zero and 180°

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Concepts Used:

Magnetic Field

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.

Properties of Magnetic Field Lines

  • Magnetic field lines never cross each other
  • The density of the field lines indicates the strength of the field
  • Magnetic field lines always make closed-loops
  • Magnetic field lines always emerge or start from the north pole and terminate at the south pole.