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What is the cause for the helical motion...

What is the cause for the helical motion of a charged particle in a magnetic field?

Text Solution

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The components of velocity, perpendicular to the magnetic field cause a circular motion of the charged particle and if there exists a component of velocity along the direction of the magnetic field, then the charged particle describes a helical path.
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Knowledge Check

  • A uniform and constant magnetic field vec(B) = (20 vec(i) - 30 vec(j) + 50 vec(k)) tesla exists in space . A charged particle with charge to mass ratio ((q)/(m)) = (10^(3))/( 19) C / kg enters this region at time t = 0 with a velocity vec (V) = (20 vec(i) + 50 vec(j) + 50 vec(j) + 30 vec(k)) m/s . Assume that the charged particle always remains in space having the given magnetic field (Use sqrt(2) = 1.4 ) During the further motion of the particle in the magnetic field , the angle between the magnetic field vec(B) and velocity of the particle is

    A
    remains constant
    B
    increases
    C
    decreases
    D
    may increase or decrease.
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