Hey how would I solve this? Suppose that an ion source in a mass spectrometer pr

Question

Hey how would I solve this? Suppose that an ion source in a mass spectrometer producesdoubly ionized gold ions (Au2+),each with a mass of 3.27 x 10-25 kg. The ions areaccelerated from rest through a potential difference of 1.07 kV.Then, a 0.393-T magnetic field causes the ions to follow a circularpath. Determine the radius of the path. Thank you! Hey how would I solve this? Suppose that an ion source in a mass spectrometer producesdoubly ionized gold ions (Au2+),each with a mass of 3.27 x 10-25 kg. The ions areaccelerated from rest through a potential difference of 1.07 kV.Then, a 0.393-T magnetic field causes the ions to follow a circularpath. Determine the radius of the path. Thank you!

Explanation / Answer

Charge q = 2 * 1.6 * 10 ^ -19 C

Potential difference V = 1070 V

Magnetic field B = 0.393 T

Mass m = 3.27 * 10 ^ -25 kg

Speed v = [ 2Vq / m]

             = 45762.31 m / s

In magnetic field Bvq = mv ^ 2/ r

From this radius r = mv / Bq

                             = 0.11899 m

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---