In a mass spectrometer chlorine ions of mass 35u and charge 5e are emitted from a source and accelerated through a potential difference of 250 kV. They then enter a region with a magnetic field that is perpendicular to their original direction of motion. The chlorine ions exit the spectrometer after being bent along a path with radius of curvature 3.5 m. What is the speed of the chlorine ions as they enter the magnetic field region

Explanation:

From  the question we are told that

   The mass of chlorine ion is

    The charge is  

   The potential difference is  

    The radius of curvature of the path is  

Gnerally the magnetic force will cause the speed of the  chlorine ions to change from 0 m/s to m/s along the y -axis but will not affect the velocity along the x-axis

Generally according the law of energy conservation

Here K is the kinetic energy of the of the chlorine ions which is mathematically represented as

And  PE is electric potential  energy which is mathematically represented as

So

=>  

=>    

=>    

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