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Question: Answered & Verified by Expert
A charged particle enters a magnetic field $H$ with its initial velocity making an angle of $45^{\circ}$ with $H$. The path of the particle will be
PhysicsMagnetic Effects of CurrentJEE Main
Options:
  • A A straight line
  • B A circle
  • C An ellipse
  • D A helix
Solution:
2796 Upvotes Verified Answer
The correct answer is: A helix
At point A, charge is entering in a magnetic field in which direction of field is shown in the figure. The velocity of particle is \(u\) making an angle of \(45^{\circ}\) with field. We resolve it in two directions, one along the field and other perpendicular to it. Since \(\mathrm{u} \sin 45^{\circ}\) is perpendicular to \(\mathrm{H}\), it will create a rotatory effect on the charge. So charge particle will start rotating with axis along the direction of \(\mathrm{H}\). At the same time it will move forward with velocity \(\mathrm{u}\) \(\cos 45^{\circ}\). Under both these motions, it will have helical path as shown in the figure.

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