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For a radiation of 600 MHz passing through air, the wave number per 1 m length is ______.

Asked in GSEB Board March 2020 (old course) · Wavelength, frequency and photon energy

• (1) 20
• (2) 2
• (3) 200
• (4) 2000

Step-by-step solution

Why the other options are wrong

• (1) comes from is what a single power-of-ten slip in the frequency gives: 6×10⁹ Hz instead of 6×10⁸ Hz leads to (6×10⁹)/(3×10⁸)=20.
• (3) comes from needs the frequency two powers of ten too large, 6×10¹⁰ Hz. 600 MHz is 6×10⁸ Hz.
• (4) comes from needs it three powers too large, 6×10¹¹ Hz. A 600 MHz wave is half a metre long, so only two of them fit in a metre.

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