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A mass spectrometer is used to examine the isotopes of uranium. Ions in the beam emerge...

A mass spectrometer is used to examine the isotopes of uranium. Ions in the beam emerge from the velocity selector at a speed of 3.08 ✕ 105 m/s and enter a uniform magnetic field of 0.590 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?
cm

Solutions

Expert Solution

The centripetal force,

where , is the mass, is the velocity     is the radius of curvature.

The magnetic field,

where    is the charge of particle (here it is electron) is the magnetic field

   is the angle between and =   as the charge enters perpendicularly

That is   

The distance between the impact points is ---------> eqn (1)

That is

Rearranging, or    Substituting this on eqn (1)

Which gives,

Substitute the values for

(Charge of electron)

Difference between impact point

​​​​​​​ .................Answer

genius_generous answered 6 months ago
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