If you triple the speed of a particle entering a magnetic field, what happens to the radius of the helix that it makes? Select the correct answer, then describe the possible reasoning that could lead a student to choose each of the other answers. You do not need to agree with that reasoning. (a) It triples. (b) It becomes one-third as big. (c) It increases by 9 times. (d) It will not change if the magnetic field does not change.

Chapter 20, Problem 10

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QUESTION: If you triple the speed of a particle entering a magnetic field, what happens to the radius of the helix that it makes? Select the correct answer, then describe the possible reasoning that could lead a student to choose each of the other answers. You do not need to agree with that reasoning.
(a) It triples.
(b) It becomes one-third as big.
(c) It increases by 9 times.
(d) It will not change if the magnetic field does not change.

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QUESTION: If you triple the speed of a particle entering a magnetic field, what happens to the radius of the helix that it makes? Select the correct answer, then describe the possible reasoning that could lead a student to choose each of the other answers. You do not need to agree with that reasoning.
(a) It triples.
(b) It becomes one-third as big.
(c) It increases by 9 times.
(d) It will not change if the magnetic field does not change.

ANSWER:

Step 1 of 4

Given: The speed of the particle entering the magnetic field is tripled.

Let the new speed of the particle be, \(v' = 3v\)

Here, \(v\) is the original speed of the particle.

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