Remarks During World War II, mass spectrometers were used to separate the radioa
ID: 1875333 • Letter: R
Question
Remarks During World War II, mass spectrometers were used to separate the radioactive uraniunm isotope U-235 from its far more common isotope, U-238. Question Estimate the radius of the circle traced out by a singly ionized lead atom moving at the same speed. (The atomic mass of lead is 207.2 amu.) 0.44 Note from the example how the radius depends on the mass m of the particle, whether the relation is direct proportion, quadratic, inverse proportion, etc. Look up the average atomic mass of lead and of hydrogen, which is essentially the mass of a single proton. Then use the ratio of two masses to appropriately scale the calculated radius in the example. Make sure you are using the same units for both masses. m PRACTICE IT Use the worked example above to help you solve this problem. Two singly ionized atoms move out of a slit at point S in the figure and into a magnetic field of magnitude 0.135 T pointing into the page. Each has a speed of 1.28 × 106 m/s. The nucleus of the first atom contains a proton and has a mass of 1,67 x 10.27 kg, while the nucleus of the second atom contains a proton and a neutron and has a mass of 3.34 x 10 27 kg. Atoms with the same number of protons in the nucleus but different masses are called isotopes. The two isotopes here are hydrogen and deuterium. Find their distance of separation when they strike a photographic plate at P 0.19002Explanation / Answer
F = ma
F1 = m1v^2/R1
F2 = m2v^2/R2
then since F1 = F2
m1v^2/R1 = m2v^2/R2 then
m1/m2 = R1/R2
pb = 207.2, U-238.03
207.2 / 238.03 = R1/R2 = 0.870
R1 = 0.870R2