A mass spectrometer is used to examine the isotopes of uranium. Ions emerge from the velocity selector at a speed of 3.00 x 10^5 m/s and enter a uniform magnetic field of 0.600 T directed perpendicularly to the velocity of the ions. What is the distance between the impact points formed on the photographic plate by singly charged ions of 235U and 238U?

Answer 1

mv²/R=qvB
R=mv/qB

ΔR=R₂-R₁=
=m₂v/qB - m₁v/qB=
= v(m₂ - m₁)/qB)=
=3•10⁵•(238-235)•1.67•10⁻²⁷/92•1.6•10⁻¹⁹•0.6=
=1.7•10⁻⁴ m