Consider six proposed properties of electromagnetic radiation: wave speeds of 3.

Question

Consider six proposed properties of electromagnetic radiation: wave speeds of 3.00 × 108 km/s and 3.00 × 108 m/s, wavelengths of 449 nm and 0.267 nm, and frequencies of 2.75 x 1018 Hz and 5.59 x 1014 Hz. Sort these according to whether they apply only to the X ray band, only to the visible light band, to both bands, or to neither band X ray band only Visible light band only Both bands Neither band frequency of wavelength of 449 nm wavelength of 0.267 nm frequency of 2.75 x10 Hz 3.00 x108 km/s 5.59 x104 Hz 3.00 x108 m/s speed of speed of

Explanation / Answer

Most X-rays have a wavelengthranging from 0.01 to 10 nanometers, corresponding to frequencies in the range 30 petahertz to 30 exahertz(3×1016 Hz to 3×1019 Hz) hence 0.267 nm and 2.75 * 1018 Hz belongs to x ray band

The visible spectrum is the portion of the electromagnetic spectrum 390 nm to 700 nm. In terms of frequency, this corresponds to a band in the vicinity of 4.30 x 1014 – 7.70x 1014 Hz.Hence 449 nm and 5.59 x 1014 Hz belongs to visible range.

Since both are elctromagnetic waves (x ray and visible waves) hence 3 x 108 m/s belongs to both bands

3 x 108 km/s doesn't belongs to any band since it has speed greater than light(not possible)

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