An electron is accelerated from rest through a potential difference V after which it enters a region having a magnetic field of magnitude B and direction perpendicular to the electron's velocity. The radius of the electron orbit in this magnetic field is given by: mV 2B e 2m,V Be 2m, VB e О 1 2m.V в у e O 1 m.V BV 2e O there is not enough information to determine 2m,V B. O none of these

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Problem Description
An electron is accelerated from rest through a potential difference \( V \) after which it enters a region having a magnetic field of magnitude \( B \) and direction perpendicular to the electron’s velocity.

### Question
The radius of the electron orbit in this magnetic field is given by:

### Options
- \( \quad \large 2B \sqrt{\frac{m_e V}{e}} \)
- \( \quad \large \sqrt{\frac{2m_e V}{Be}} \)
- \( \quad \large \frac{2m_e VB}{e} \)
- \( \quad \large \frac{1}{B} \sqrt{\frac{2m_e V}{e}} \)
- \( \quad \large \frac{1}{B} \sqrt{\frac{m_e V}{2e}} \)
- \( \quad \text{there is not enough information to determine} \)
- \( \quad \large B \sqrt{2m_e V/e} \)
- \( \quad \text{none of these} \)
Transcribed Image Text:### Problem Description An electron is accelerated from rest through a potential difference \( V \) after which it enters a region having a magnetic field of magnitude \( B \) and direction perpendicular to the electron’s velocity. ### Question The radius of the electron orbit in this magnetic field is given by: ### Options - \( \quad \large 2B \sqrt{\frac{m_e V}{e}} \) - \( \quad \large \sqrt{\frac{2m_e V}{Be}} \) - \( \quad \large \frac{2m_e VB}{e} \) - \( \quad \large \frac{1}{B} \sqrt{\frac{2m_e V}{e}} \) - \( \quad \large \frac{1}{B} \sqrt{\frac{m_e V}{2e}} \) - \( \quad \text{there is not enough information to determine} \) - \( \quad \large B \sqrt{2m_e V/e} \) - \( \quad \text{none of these} \)
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