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Physics grade 12

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A horizontal beam of alpha particles are injected with a speed of 1.3x10^5 m/s into a region with a vertical magnetic field of magnitude 0.155T.
A- How long does it take for an alpha particle to move half way through a complete circle?
B- If the speed of the alpha particle is doubled, does the time found in part A increase, decrease, or stay the same? Explain.
C- Repeat for part A for alpha particle with a speed of 2.6x10^5 m/s.
D- What does this infer with regard to the frequency of EMR radiated by identical charges (at any speed) entering a perpendicular magnetic field?

  • Physics grade 12 -

    Malus's Law
    I=Io•(cosφ)^2,
    cos φ =sqrt(I/Io),
    φ =19.19o

  • Physics grade 12 -

    I'm sorry. I've mistaken. This is solution of another problem

  • Physics grade 12 -

    A. Lorentz force
    F=q•v•B•sinα,
    sin α =1.
    mv^2/R = q•v•B,
    R= mv/qB.
    The period is
    T =2•π•R/v = 2•π•m/q•B.
    For α-particle
    T = 2•π•4m(p)/2•e•B.
    T/2 = 2•π• m(p)/ e•B,
    where m(p) = 1.66•10^-27 – the mass of proton
    e = 1.6•10^-19 C is the charge of proton.
    B. T doesn't depend on velocity.

  • Physics grade 12 -

    F=q•v•B•siná,
    sin á =1.
    mv^2/R = q•v•B,
    R= mv/qB.
    The period is
    T =2•ð•R/v = 2•ð•m/q•B.
    For á-particle
    T = 2•ð•4m(p)/2•e•B.
    T/2 = 2•ð• m(p)/ e•B

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