Draw a schematic diagram of a cyclotron. Explain its underlying principle and working, stating clearly the function of the electric and magnetic fields applied on a charged particle.
Deduce an expression for the period of revolution and show that it does not depend on the speed of the charged particle.

Explanation

### Step-by-Step Solution

#### Step 1: Draw a Schematic Diagram of a Cyclotron
To draw a schematic diagram of a cyclotron, illustrate two semi-circular electrodes labeled D1 and D2, which are placed in a vacuum chamber. These electrodes are positioned between the poles of a strong magnet (N and S). The diagram should also include a proton source that emits protons towards the electrodes.

#### Step 2: Explain the Underlying Principle
The cyclotron operates on the principle of accelerating charged particles using electric and magnetic fields. The charged particle (e.g., a proton) is accelerated by crossing an electric field between the two electrodes (D1 and D2) repeatedly. The magnetic field causes the particle to move in a circular path, allowing it to gain energy with each pass.

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