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Radius of the path of an ion accelerated through a potential (or its mass from the radius)

This type of question, asked 2 times: 28 Jun 2022, 1 Feb 2023. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    28 Jun 2022

    29
    A singly ionized magnesium ion (mass number 24) is accelerated to kinetic energy 5keV5keV and is projected perpendicularly into a magnetic field B of the magnitude 0.5 T0.5\text{ }T. The radius of path formed will be ____\_\_\_\_ cm.

  2. Question 2

    1 Feb 2023

    24
    A charge particle of 2μC2\mu C accelerated by a potential difference of 100 V100\text{ }V enters a region of uniform magnetic field of magnitude 4mT4mT at right angle to the direction of field. The charge particle completes semicircle of radius 3 cm3\text{ }cm inside magnetic field. The mass of the charge particle is____ ×10−18 kg\times10^{- 18}\text{ }kg.