Ask Question
13 October, 03:34

Physicist S. A. Goudsmit devised a method for measuring the mass of heavy ions by timing their period of revolution in a known magnetic field. A singly charged ion makes 5.00 revolutions in a 50.0 mT field in 1.11 ms. Calculate its mass, in atomic mass units.

+3
Answers (1)
  1. 13 October, 06:14
    0
    170.36 amu

    Explanation:

    Ion makes 5 revolutions in 1.11 ms

    Frequency = 5 / (1.11 x 10^-3) = 4504.5 rps

    B = 50 mT = 0.05 T

    q = 1.6 x 10^-19 C

    Let m be the mass in kg

    Time period is given by

    T = (2 π m) / (B q)

    Frequency is the reciprocal of time period.

    f = 1 / T = B q / 2πm

    So,

    m = B q / 2 π f

    m = (0.05 x 1.6 x 10^-19) / (2 x 3.14 x 4504.5) = 2.828 x 10^-25 kg

    as we know that

    1 amu = 1.66 x 10^-27 kg

    So, m = (2.828 x 10^-25) / (1.66 x 10^-27) = 170.36 amu
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Physicist S. A. Goudsmit devised a method for measuring the mass of heavy ions by timing their period of revolution in a known magnetic ...” in 📘 Physics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers