Question:

Two chained particles traverse identical helical paths in a completely opposite sense in a uniform magnetic field $\bar{B}=B_0\hat{K}$

Updated On: Jul 6, 2022
  • They have equal z-components of momenta
  • They must have equal charges
  • They necessarily represent a partical-antipar ticle pair
  • The charge to mass ratio satisfy : $(e/m)_1+(e/m)_2=0$
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The Correct Option is D

Solution and Explanation

Since the charged particles traverse identical helical paths in a completely opposite sense in a uniform , magnetic field B, their radii(r = mv sin $\theta$ /eB) and frequencies (v = eB/ 2 $ \pi m$) must be equal for this $(e/m)_1=-(e/m)_2 or (e /m)_1 +(e /m)_2=0$
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Concepts Used:

Electric Charge

What is Electric Charge

It is the property of subatomic particles that experiences a force when put in an electric and magnetic field. It is are of two types: Positive and Negative. It commonly carried by charge carriers protons and electrons.

Properties of Electric Charge

Various properties of charge include the following :-

  • Additivity of Electric Charge
  • Conservation of Electric Charge
  • Quantization of Electric Charge

Types of electric charge

Two kinds of electric charges are there :-

Negative Charge - When an object has a negative charge it means that it has more electrons than protons.

Positive Charge - When an object has a positive charge it means that it has more protons than electrons.

When there is an identical number of positive and negative charges, the negative and positive charges would cancel out each other and the object would become neutral.