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O-Level Electromagnetic Spectrum

What the O-Level syllabus expects for Electromagnetic Spectrum, and how to practise it.

What the syllabus expects

How it's examined

Questions on this topic most often ask you to state. About 2% of the past-paper style questions in Rae's bank for this subject sit in this topic.

Worked examples

Example 1 (4 marks)

A transmitter on Earth broadcasts television signals whose frequency is 6000 MHz. Give the speed of electromagnetic waves through a vacuum, then work out the signal's wavelength.

Show the worked answer

Step 1 - state the speed. All electromagnetic waves travel through a vacuum at the same speed, the speed of light: c = 3 × 10⁸ m/s (300 000 000 m/s). Step 2 - convert the frequency into hertz, the SI unit, before using it in any formula. 1 MHz (megahertz) = 1 × 10⁶ Hz, so f = 6000 MHz f = 6000 × 10⁶ Hz f = 6 × 10³ × 10⁶ Hz f = 6 × 10⁹ Hz Step 3 - state the wave equation, which links speed, frequency and wavelength for ANY wave. v = fλ where v is the wave speed (m/s), f the frequency (Hz) and λ the wavelength (m). Step 4 - rearrange it to make λ the subject. Divide both sides by f: λ = v/f Step 5 - substitute the values, keeping the powers of ten separate from the digits. λ = (3 × 10⁸ m/s) / (6 × 10⁹ Hz) λ = (3/6) × 10⁸⁻⁹ m λ = 0.5 × 10⁻¹ m λ = 0.05 m So the wavelength of the television signal is 0.05 m, that is 5 cm.

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