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27 July, 07:22

Radio astronomers detect electromagnetic radiation at a frequency of 42MHz from an interstellar gas cloud. If the radiation results from electrons spiraling in a magnetic field, What is the magnetic field strength inside the gas cloud?

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  1. 27 July, 07:46
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    The electrons will also spiral with frequency of 42 x 10⁶

    n = 42 x 10⁶

    For circular motion of electron

    = Bqv = m ω² r (centripetal force)

    v / r = m ω² / Bq

    = 4π² n² m / Bq

    T = 2πr / v

    1 / n = 2πr / v

    r / v = 1 / 2π n

    2π n = ω²m / Bq

    ω = ω² m / Bq

    B = ω m / q

    B = 2π nm / q

    = 2 x 3.14 x 42 x 10⁶ x 9.1 x 10⁻³¹ / 1.6 x 10⁻¹⁹

    = 15 x 10⁻⁴ T
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