In the mass spectrometer of the figure below, Krypton ions (q = +e) come from th

Question

In the mass spectrometer of the figure below, Krypton ions (q = +e) come from the ion source and are accelerated through a potential difference V. The ions then pass through an aperture in a metal plate into a uniform magnetic field where they travel in semicircular paths until exiting into the detector. Krypton ions having a mass of 84.0 u leave the field at a distance of 72.8 cm from the aperture. At what distance from the aperture do Krypton ions having a mass of 89.0 u leave the field? (1 e = 1.67 times 10^-27 kg.)

Explanation / Answer

Here,

as the diameter of the path is given as

D1 = sqrt(2 * m * V * q)(B * q)

for m1 = 84 , D1 = 72.8 cm

for m2 = 89 , D2 = ?

for magnetic field and charge constant

D1/D2 = sqrt(m1/m2)

72.8/D2 = sqrt(84/89)

solving for D2

D2 = 74.94 cm

the Krypton ion with 89 u ion is 74.94 cm

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.