Question

A cyclotron (figure) designed to accelerate protons has an outer radius of 0.321 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 638 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.824 T. (a) Find the cyclotron frequency for the protons in this cyclotron. rad/s (b) Find the speed at which protons exit the cyclotron. m/s (c) Find their maximum kinetic energy. eV (d) How many revolutions does a proton make in the cyclotron? revolutions (e) For what time interval does the proton accelerate? s

          A cyclotron (figure) designed to accelerate protons has an outer radius of 0.321 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 638 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.824 T.

(a) Find the cyclotron frequency for the protons in this cyclotron.
rad/s

(b) Find the speed at which protons exit the cyclotron.
m/s

(c) Find their maximum kinetic energy.
eV

(d) How many revolutions does a proton make in the cyclotron?
revolutions

(e) For what time interval does the proton accelerate?
s

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A cyclotron (figure) designed to accelerate protons has an outer radius of 0.321 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 638 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.824 T.

(a) Find the cyclotron frequency for the protons in this cyclotron.
rad/s

(b) Find the speed at which protons exit the cyclotron.
m/s

(c) Find their maximum kinetic energy.
eV

(d) How many revolutions does a proton make in the cyclotron?
revolutions

(e) For what time interval does the proton accelerate?
s

Added by Joan N.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

11/18/2022

Step 1

Given: Charge of a proton, \(q = 1.6 \times 10^{-19} C\) Magnetic field, \(B = 0.824 T\) Mass of a proton, \(m = 1.67 \times 10^{-27} kg\) The cyclotron frequency is given by: \[\omega = \frac{qB}{m}\] Substitute the values: \[\omega = \frac{1.6 \times 10^{-19} Show more…

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A cyclotron (figure) designed to accelerate protons has an outer radius of 0.321 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 638 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.824 T. (a) Find the cyclotron frequency for the protons in this cyclotron. rad/s (b) Find the speed at which protons exit the cyclotron. m/s (c) Find their maximum kinetic energy. (d) How many revolutions does a proton make in the cyclotron? (e) For what time interval does the proton accelerate?

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