A singly charged ion (q=−1.6×10−19) makes 7.0 rev in a 45 mT magnetic field in 1.29 ms. The mass of the ion in kg is

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A singly charged ion (q=−1.6×10−19) makes 7.0 rev in a 45 mT magnetic field in 1.29 ms. The mass of the ion in kg is

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Khánh Gia 19 hours 2021-07-22T04:18:24+00:00 1 Answers 0 views 0

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    2021-07-22T04:19:37+00:00

    Answer:

    m=1.47\times 10^{-24}\ Kg

    Explanation:

    Given that,

    Charge, q=1.6\times 10^{-19}\ C

    Revolution = 7 rev

    magnetic field, B = 45 mT

    Time, t = 1.29 ms

    We need to find the mass of the ion. Let m be the mass. The formula for the mass in terms of time period is given by :

    m=\dfrac{qBT}{2\pi}\\\\m=\dfrac{1.6\times 10^{-19}\times 45\times 10^{-3}\times 1.29\times 10^{-3}}{2\pi}\\\\m=1.47\times 10^{-24}\ Kg

    So, the mass of the ion is equal to 1.47\times 10^{-24}\ Kg.

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