Solved Examples: Calculating the Wavelength of Radio Waves in Hertz's Experiment

📚 Quick Study Guide

• ⚡ Hertz's experiment demonstrated the existence of electromagnetic waves, including radio waves.
• 📐 The key formula to remember is: $c = f \lambda$, where:
  • $c$ is the speed of light (approximately $3 \times 10^8$ m/s)
  • $f$ is the frequency of the radio wave (in Hz)
  • $\lambda$ is the wavelength of the radio wave (in meters)
• ➗ To find the wavelength, rearrange the formula: $\lambda = \frac{c}{f}$
• 💡 Remember to use consistent units: meters for wavelength, Hz for frequency, and m/s for speed of light.

🧪 Practice Quiz

1. Question 1: In Hertz's experiment, if a radio wave has a frequency of $100$ MHz, what is its wavelength?
   1. A) $0.3$ m
   2. B) $3$ m
   3. C) $30$ m
   4. D) $300$ m
2. Question 2: A radio transmitter operates at a frequency of $1500$ kHz. Calculate the wavelength of the emitted radio waves.
   1. A) $20$ m
   2. B) $200$ m
   3. C) $2$ m
   4. D) $0.2$ m
3. Question 3: What is the wavelength of a radio signal with a frequency of $90$ MHz?
   1. A) $3.33$ m
   2. B) $33.3$ m
   3. C) $0.33$ m
   4. D) $333$ m
4. Question 4: A radio wave has a frequency of $200$ MHz. Determine its wavelength.
   1. A) $1.5$ m
   2. B) $15$ m
   3. C) $0.15$ m
   4. D) $150$ m
5. Question 5: If the wavelength of a radio wave is $10$ meters, what is its frequency?
   1. A) $3$ MHz
   2. B) $30$ MHz
   3. C) $300$ MHz
   4. D) $3$ GHz
6. Question 6: A radio station broadcasts at a frequency of $98.5$ MHz. What is the wavelength of the radio waves?
   1. A) $3.04$ m
   2. B) $30.4$ m
   3. C) $0.304$ m
   4. D) $304$ m
7. Question 7: Calculate the wavelength of a radio wave with a frequency of $105.7$ MHz.
   1. A) $2.84$ m
   2. B) $28.4$ m
   3. C) $0.284$ m
   4. D) $284$ m