In this problem, we will investigate the design of a mass spectrometer, used to
ID: 1259415 • Letter: I
Question
In this problem, we will investigate the design of a mass spectrometer, used to measure the mass of particles.
A source S emits particles of mass m and charge q through a slit S1. The particles pass through a region of crossed electric field E and magnetic field B. In the diagram shown here, notice that the electric field points up and the magnetic field points into the board. Only particles with the correct speed be undeflected and pass through the slit at the end, S2
In this problem, we will investigate the design of a mass spectrometer, used to measure the mass of particles. A source S emits particles of mass m and charge q through a slit S1. The particles pass through a region of crossed electric field E and magnetic field B. In the diagram shown here, notice that the electric field points up and the magnetic field points into the board. Only particles with the correct speed be undeflected and pass through the slit at the end, S2 Find the speed of the particles that pass through the slit. After emerging from S2, the particles enter a region of uniform magnetic field B' and follow a circular path.Explanation / Answer
a)
speed of particle after passing throug hte spectrometer is
E q = B q v
v = E / B
E is electric field and B is magnetic field.
b)
In the uniform magnetic field, the particle beds into, so
m v ^2 / (d /2 ) = B q v
2 m v^2 / d = (E / v ) q v
q / m = 2 v^2 / E
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