Suppose that an ion source in a mass spectrometer produces doubly ionized gold i

Question

Suppose that an ion source in a mass spectrometer produces doubly ionized gold ions (Au2+), each with a mass of 3.27 Suppose that an ion source in a mass spectrometer produces doubly ionized gold ions (Au2+), each with a mass of 3.27 Suppose that an ion source in a mass spectrometer produces doubly ionized gold ions (Au2+), each with a mass of 3.27 times 10-25 kg. The ions are accelerated from rest through a potential difference of 1.60 kV. Then, a 0.400-T magnetic field causes the ions to follow a circular path. Determine the radius of the path.

Explanation / Answer

The equation governing this deflection is r = (2mV/eB^2)^0.5
(r is the radius, m is the mass of the ions, V is the accelerating potential difference, e is the charge on the ions and B is the magnetic field strength)

You have all the information in the question.
r = [(2 x 3.27 x 10^-25 x 1.60 x 10^3)/(2 x 1.6 x 10^-19 x 0.400^2)]^0.5 =0.143 m

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