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JEE Main 20238 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
8 April
Shift
Morning Shift
Subject
Physics
Chapter
Magnetic Effects of Current

JEE Main 2023 · 8 April · Morning Shift · Physics · Magnetic Effects of Current

A charge particle moving in magnetic field B, has the components of...

A charge particle moving in magnetic field B,B, has the components of velocity along BB as well as perpendicular to BB. The path of the charge particle will be

Options

  1. Ahelical path with the axis perpendicular to the direction of magnetic field BB
  2. Bhelical path with the axis along magnetic field BB
  3. Ccircular path
  4. Dstraight along the direction of magnetic field BB

Correct answer

B. helical path with the axis along magnetic field BB

Step-by-step solution

The formula to calculate the radius of the path followed by the charged particle under an external magnetic field can be written as

r=mvBq...(1)r = \dfrac{mv}{Bq} . . . \left(1\right)

The perpendicular component of velocity results in circular motion, while the parallel component results in linear motion. Hence, the path of the charged particle is helical in nature, the axis of which lies along the direction of the magnetic field.

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