A uniform magnetic field of `6.5 xx 10^(-4)` T is maintained in a chamber. An electron enters into the field with a speed of `4.8 xx 10^(6) ` m/s normal to the field. Explain why the path of the electron is a circle. Determine its frequency of revolution in the circular orbit. Does the frequency depend on the speed of the electron? Explain.

Explanation

To solve the problem step by step, we will first explain why the path of the electron is circular, then calculate the frequency of revolution, and finally discuss whether the frequency depends on the speed of the electron.

### Step 1: Explain why the path of the electron is circular

When a charged particle, such as an electron, enters a magnetic field with a velocity that is perpendicular to the direction of the magnetic field, it experiences a magnetic force. The magnetic force acting on the electron is given by:

\[ F_m = q(v \times B) \]

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