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Singly charged magnesium (A=24) ions are...

Singly charged magnesium (A=24) ions are accelerated to kinetic energy `2 ke V` and are projected perpendicularly into a magnetic field B of magnitude 0.6 T. (a) Find the radius of the circle formed by the ions. (b) If there are also singly charged ions of the isotope magnesium.26, what would be the radius for these particles?

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To solve the problem, we will follow these steps: ### Given Data: - Atomic mass of magnesium (A) = 24 for the first part, and 26 for the isotope. - Charge (Q) of singly charged magnesium ion = 1.6 x 10^-19 C (since it is singly charged). - Kinetic energy (K.E) = 2 keV = 2000 eV = 2000 x 1.6 x 10^-19 J = 3.2 x 10^-16 J. - Magnetic field (B) = 0.6 T. - Mass of proton = 1.67 x 10^-27 kg. ...
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