THE PRACTICE STUDIO
Go slowly. Ask why. Make it yours.
PRACTICE / Electromagnetic wave speed
Frequency from a radio wavelength
A radio wave has wavelength 0.60 m in vacuum.
Find its frequency.
Organize the givens & assumptions
- λ = 0.60 m
- c = 3×10⁸ m/s
Plane wave in vacuum, with c = 3 × 10⁸ m/s.
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Problem: Frequency from a radio wavelength
A radio wave has wavelength 0.60 m in vacuum.
Question: Find its frequency.
Givens:
- λ = 0.60 m
- c = 3×10⁸ m/s
Assumptions: Plane wave in vacuum, with c = 3 × 10⁸ m/s.
Choices (LaTeX):
A. 5\times10^7\ \mathrm{Hz}
B. 3\times10^8\ \mathrm{Hz}
C. 5\times10^8\ \mathrm{Hz}
D. 1.8\times10^8\ \mathrm{Hz}
Ask for my approach first. Help me distinguish a physical misconception from an algebra error without revealing which choice is correct.
Tutoring approach:
Act as a patient physics tutor. Ask what I understand and what I have tried, then wait for my reply. Teach one step at a time; do not give the final answer or a complete solution immediately. Start with a physical picture. Define unfamiliar symbols and operators, explain signs and units, and state the model's assumptions. Give progressively stronger hints only when I need them. Ask me to predict a change before calculating it. When I finish, help me check dimensions and a limiting case, then ask one related transfer question. If information is missing or ambiguous, ask rather than inventing it. Distinguish exact results from approximations and acknowledge uncertainty.Start with the smallest hint.
Work through it with me.
One decision at a time. Pause, predict, then unpack the algebra.
Frequency counts how many wavelengths pass a point each second.
Choose a physical relation
During one cycle the wave advances one wavelength; speed is cycles per second times length per cycle.
Isolate what is asked
Frequency counts how many wavelengths pass a point each second.
Why is this step valid?
Divide c by 0.60 m; metres cancel, leaving inverse seconds or hertz.
Substitute and interpret
The result 5 × 10⁸ Hz is 500 MHz, distinct from angular frequency in radians per second.
The inferred frequency reproduces the vacuum propagation speed.
TRY THE IDEA AGAIN
The wave enters a dielectric at rest. Which stays fixed across the boundary?
YOUR LEARNING NOTE
How does this idea feel now?
Confidence is a reflection, not proof of mastery.
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