In a mass spectrometer used for measuring the masses of ions, the ions are initially accelerated by an electric potential V and then made to describe semicircular paths of radius R using a magnetic field B. If V and B are kept constant, the ratio ( charge on the ionmass of the ion ) will be proportional to
- 1/R2
- R2
- R
- 1/R
Answer
(1) 1/R2
Solution
After acceleration: qV = 12mv2 v = 2qVm
In the magnetic field: R = mvqB = 1B 2mVq
R2 = 2mVqB2
qm = 2VB2R2
With V and B constant, qm 1R2
Answer: (1)