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In Thomson experiment of finding e/m for electrons, beam of electron is replaced by that of muons (particle with same charge as of electrons but mass 208 times that of electrons). No deflection condition in this case satisfied if
- a)B is increased 208 times
- b)E is increased 208 times
- c)B is increased 14.4 times
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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In Thomson experiment of finding e/m for electrons, beam of electron i...
Explanation:
Thomson's experiment is used to find the specific charge (e/m) of an electron. In this experiment, a beam of electrons is passed through a magnetic field and an electric field. The deflection of the electron beam is measured to find the value of e/m.
Now, if we replace the beam of electrons with that of muons, which have the same charge as electrons but a mass 208 times greater than electrons, the deflection condition will change. Let's see how.
Effect of Electric Field:
The electric field does not depend on the mass of the particle. Therefore, the same electric field will be applied to the muon beam as was applied to the electron beam. Hence, the effect of the electric field will remain the same for both.
Effect of Magnetic Field:
The deflection of the beam of charged particles in a magnetic field depends on the charge-to-mass ratio (e/m) of the particles. As the mass of the muon is 208 times greater than that of the electron, its charge-to-mass ratio is 1/208 times that of the electron.
Now, for the muon beam to experience no deflection, the magnetic field should be adjusted such that the force on the muon beam due to the magnetic field is the same as that experienced by the electron beam. This means that the magnetic field should be increased by a factor of 208 to balance the mass difference.
Therefore, the correct option is C, where the magnetic field should be increased by a factor of 14.4 (208^(1/2)) to balance the charge-to-mass ratio difference between the electron and muon beams.
Thomson's experiment is used to find the specific charge (e/m) of an electron. In this experiment, a beam of electrons is passed through a magnetic field and an electric field. The deflection of the electron beam is measured to find the value of e/m.
Now, if we replace the beam of electrons with that of muons, which have the same charge as electrons but a mass 208 times greater than electrons, the deflection condition will change. Let's see how.
Effect of Electric Field:
The electric field does not depend on the mass of the particle. Therefore, the same electric field will be applied to the muon beam as was applied to the electron beam. Hence, the effect of the electric field will remain the same for both.
Effect of Magnetic Field:
The deflection of the beam of charged particles in a magnetic field depends on the charge-to-mass ratio (e/m) of the particles. As the mass of the muon is 208 times greater than that of the electron, its charge-to-mass ratio is 1/208 times that of the electron.
Now, for the muon beam to experience no deflection, the magnetic field should be adjusted such that the force on the muon beam due to the magnetic field is the same as that experienced by the electron beam. This means that the magnetic field should be increased by a factor of 208 to balance the mass difference.
Therefore, the correct option is C, where the magnetic field should be increased by a factor of 14.4 (208^(1/2)) to balance the charge-to-mass ratio difference between the electron and muon beams.
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In Thomson experiment of finding e/m for electrons, beam of electron is replaced by that of muons (particle with same charge as of electrons but mass 208 times that of electrons). No deflection condition in this case satisfied ifa)B is increased 208 timesb)E is increased 208 timesc)B is increased 14.4 timesd)None of theseCorrect answer is option 'C'. Can you explain this answer?
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