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An ion of mass m and charge q is accelerated by a potential difference of V...

An ion of mass m and charge q is accelerated by a potential difference of V and allowed to enter a magnetic field B. In the field it moves in a semi-circle, striking photographic plate at a distance x from the slit. Show that the mass of the ion is given by ?=(?^2??^2) /8?.

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Answer #1

As we know that:

Velocity of particle of charge q is v, when accelerated though potential difference V. Then,


  

particle moves in circular path.
At equilibrium,
magnetic force = centripetal force

Now, substitute value of r = x/2 in equation (2):

Hence, proved.


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