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:
According to Maxwell's theory, an accelerating or oscillating charge produces electromagnetic waves.
Step 2: Detailed Explanation:
The frequency of the electromagnetic wave produced is exactly equal to the frequency with which the charged particle oscillates. Since the particle oscillates at $8 \times 10^9$ Hz, the resulting EM wave will have the same frequency.
Step 3: Final Answer:
The frequency of the EM waves is $8 \times 10^9$ Hz.