Two isotoprs of uranium U235(3.9x10^-25 kg) , U238(3.95x10^-25kg) into spectrometer (1.05x10^5 m/s). Each isotope is singly ionized and B field(0.75T). What is the distance between the two isotopes?
1 Answer
Explanation:
Given that two isotopes of Uranium
Velocity of each singly ionized atom is
Force
Since the magnetic field is perpendicular to the direction of motion in a spectrometer
This magnetic force produces circular motion of the ion.
Centripetal force
- For
"U"235 :
r_235=3.9xx10^-25xx8.75xx10^23
=0.34125m - For
"U"238 :
r_238=3.95xx10^-25xx8.75xx10^23
=0.345625m
Distance between the two isotopes is equal to difference between the two diameters
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