Strategy The period of revolution is approximately the distance traveled in a circle divided by the speed. Identifying that the magnetic force applied is the centripetal force, we can derive the period formula. The kinetic energy can be found from the maximum speed of the beam, corresponding to the maximum radius within the cyclotron. 4.) A sector instrument is designed to operate with a radius of 30.00 cm and an accelerating voltage of 3000V. Calculate the magnetic field in (gauss) necessary to focus M* (CH3*) of methane. What would be the radius of trajectory for CH3* under these conditions?

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A sector instrument is designed to operate with a radius of 30.00 cm and an accelerating voltage of 3000V. Calculate the magnetic field in (gauss) necessary to focus M+ (CH3+) of methane. What would be the radius of trajectory for CH3+ under these conditions?

Strategy
The period of revolution is approximately the distance traveled in a circle divided by the
speed. Identifying that the magnetic force applied is the centripetal force, we can
derive the period formula.
The kinetic energy can be found from the maximum speed of the beam, corresponding
to the maximum radius within the cyclotron.
4.) A sector instrument is designed to operate with a radius of 30.00 cm and an
accelerating voltage of 3000V. Calculate the magnetic field in (gauss) necessary to focus
M* (CH3*) of methane. What would be the radius of trajectory for CH3* under these
conditions?
10 kilogauss = 1 tesla
Transcribed Image Text:Strategy The period of revolution is approximately the distance traveled in a circle divided by the speed. Identifying that the magnetic force applied is the centripetal force, we can derive the period formula. The kinetic energy can be found from the maximum speed of the beam, corresponding to the maximum radius within the cyclotron. 4.) A sector instrument is designed to operate with a radius of 30.00 cm and an accelerating voltage of 3000V. Calculate the magnetic field in (gauss) necessary to focus M* (CH3*) of methane. What would be the radius of trajectory for CH3* under these conditions? 10 kilogauss = 1 tesla
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