A mass spectrometer accelerates alpha particles consisting of 2 protons and 2 neutrons through a...

Question:

A mass spectrometer accelerates alpha particles consisting of 2 protons and 2 neutrons through a potential difference of 10.00 kV (kV= {eq}10^3 {/eq} V). If a 0.500 T Magnetic field bends the particle into a semicircular path, determine the radius of its path.

Magnetic Force

A charge moving through a magnetic field experiences a magnetic force. For the particle to continue on a circular path, the magnetic force needs to be balanced by the centrifugal force.

{eq}e (\vec{v} \times \vec{B}) = \frac{mv^2}{r} \\ {/eq}

Answer and Explanation: 1

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Charge on alpha particle = 2e

Mass of alpha particle will be = {eq}(6.64 \times 10^{-27}) Kg {/eq}

Kinetic Energy gained during the accelearation,

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What is a Magnetic Field?

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Chapter 7 / Lesson 2
26K

Magnetic fields fill the space around all magnets, but they're impossible to detect with our own senses. We'll use a common tool to map out a magnetic field and then discuss ferromagnetic materials to see how a magnetic field can be used to create new magnets.


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