Question 4 of 8beginner💡 UnderstandVery Short1 mark

A charged particle oscillates about its mean equilibrium position with a frequency of 109 Hz. What is the frequency of the electromagnetic waves produced by the oscillator?

Correct Answer

10910^{9} Hz

Exercise: EXERCISES | Q: 8.6
For More Understanding

Explanation

According to the textbook context, 'The frequency of the electromagnetic wave naturally equals the frequency of oscillation of the charge.' When a charged particle oscillates about its mean equilibrium position, it acts as an accelerating charge and radiates electromagnetic waves. The frequency of these electromagnetic waves is the same as the frequency of oscillation of the charged particle. Since the particle oscillates at 10910^{9} Hz, the electromagnetic waves produced will also have a frequency of 10910^{9} Hz.

Solution Steps

  1. Step 1: Identify that an oscillating charged particle produces electromagnetic waves.

  2. Step 2: Apply the principle that the frequency of the electromagnetic wave equals the frequency of oscillation of the charge.

  3. Step 3: Since the particle oscillates at 10910^{9} Hz, the electromagnetic waves produced have the same frequency: 10910^{9} Hz.

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