An alternating electric field, of frequency v, is applied across the dees (radius=R) of a cyclotron that is being used to accelerate protons (mass=m). The operating magnetic field used in the cyclotron and the kinetic energy (K) of the proton beam, produced by it, are given by:

Question

TuteeHUB · Accepted Answer

$$B=\frac{mv}{e}$$ and $$K={{m}^{2}}\pi v{{R}^{2}}$$

TuteeHUB · Answer

$$B=\frac{mv}{e}$$and $$K=2m{{\pi }^{2}}{{v}^{2}}{{R}^{2}}$$

TuteeHUB · Answer

$$B=\frac{2\pi mv}{e}$$ and $$K={{m}^{2}}\pi v{{R}^{2}}$$

TuteeHUB · Answer

$$B=\frac{2\pi mv}{e}$$ and $$K=2m{{\pi }^{2}}{{v}^{2}}{{R}^{2}}$$

1.	An alternating electric field, of frequency v, is applied across the dees (radius=R) of a cyclotron that is being used to accelerate protons (mass=m). The operating magnetic field used in the cyclotron and the kinetic energy (K) of the proton beam, produced by it, are given by:
A.	\[B=\frac{mv}{e}\]and \[K=2m{{\pi }^{2}}{{v}^{2}}{{R}^{2}}\]
B.	\[B=\frac{2\pi mv}{e}\] and \[K={{m}^{2}}\pi v{{R}^{2}}\]
C.	\[B=\frac{2\pi mv}{e}\] and \[K=2m{{\pi }^{2}}{{v}^{2}}{{R}^{2}}\]
D.	\[B=\frac{mv}{e}\] and \[K={{m}^{2}}\pi v{{R}^{2}}\]
Answer» D. \[B=\frac{mv}{e}\] and \[K={{m}^{2}}\pi v{{R}^{2}}\]

An alternating electric field, of frequency v, is applied across the dees (radius=R) of a cyclotron that is being used to accelerate protons (mass=m). The operating magnetic field used in the cyclotron and the kinetic energy (K) of the proton beam, produced by it, are given by:

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