Question

A charged particle oscillates about its mean equilibrium position with a frequency of $8 \times 10^9$ Hz. What is the frequency of the electromagnetic waves produced by the oscillator?

• A. $4 \times 10^9$ Hz
• B. $1.6 \times 10^{10}$ Hz
• C. $8 \times 10^9$ Hz
• D. $2 \times 10^9$ Hz

Hint:

This principle is the basis of how radio transmitters work—electrons are made to oscillate at a specific frequency in an antenna to broadcast waves of that same frequency.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
Maxwell's theory states that an accelerated charge (like an oscillating charge) radiates electromagnetic energy.
Step 2: Formula Application:
The frequency of the electromagnetic waves produced is exactly equal to the frequency with which the charge oscillates.
Step 3: Explanation:
Since the oscillator vibrates at $8 \times 10^9$ Hz, it creates a varying electric field at the same rate, which in turn creates a varying magnetic field, resulting in an EM wave of the same frequency.
Step 4: Final Answer:
The frequency is $ 8 \times 10^9 $ Hz.