True/False 1. A cyclotron operates with a given magnetic field and at agiven fre

Question

True/False
1. A cyclotron operates with a given magnetic field and at agiven frequency. If R denotes the radius of the final orbit, thefinal particle energy is proportional to 1/R.
2. A cyclotron operates with a given magnetic field and at agiven frequency. If R denotes the radius of the final orbit, thefinal particle energy is proportional to R.
3. All charged particles which pass through crossed electric andmagnetic fields without deflection have the same mass andmomentum.
4. A uniform magnetic field is parallel to and in thedirection of the positive z axis. For an electron to enter thisfield and not be deflected by the field, the electron must betraveling along the z axis.
5. In a cyclotron, particles with the same charge-to-massratio have the same period of oscillations.

Explanation / Answer

1. A cyclotron operates with a given magnetic field andat a given frequency. If R denotes the radius of the final orbit,the final particle energy is proportional to 1/R.
2. A cyclotron operates with a given magnetic field and at agiven frequency. If R denotes the radius of the final orbit, thefinal particle energy is proportional to R.
3. All charged particles which pass through crossed electric andmagnetic fields without deflection have the same mass andmomentum.
4. A uniform magnetic field is parallel to and in thedirection of the positive z axis. For an electron to enter thisfield and not be deflected by the field, the electron must betraveling along the z axis.
5. In a cyclotron, particles with the same charge-to-massratio have the same period of oscillations. 1. False 2.False 3.False 4.True 5.True

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