Two protons are moving in the same uniform magnetic field. The orbital radius of the first proton is 10 cm, and the orbital radius of the second is 20 cm. Which proton has the larger speed? Which has the larger orbital frequency?

(A) First, first (B) First, second (C) Second, first (D) Second, second (E) Second, both same

Question

Two protons are moving in the same uniform magnetic field. The orbital radius of the first proton is 10 cm, and the orbital radius of the second is 20 cm. Which proton has the larger speed? Which has the larger orbital frequency?

(A) First, first (B) First, second (C) Second, first (D) Second, second (E) Second, both same

Accepted Answer

(E) Second, both same. As in Question 1, the larger speed corresponds to the larger radius, since [latex] r=m v / q B [/latex]. Both have the same orbital frequency, because the cyclotron frequency [latex] f=q B / 2 \pi m [/latex] does not depend on radius or speed.

Question Checkup 30.1.5: Two protons are moving in the same uniform magnetic field. T......

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