Consider six proposed properties of electromagnetic radiation: wave speeds of 3.00*108 km/s3.00*108 km/s and 3.00*108m/s3.00*108m/s, wavelengths of 673 nm673 nm and 0.221 nm0.221 nm, and frequencies of 2.39*1018 Hz2.39*1018 Hz and 4.85*1014 Hz4.85*1014 Hz. Place 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 wavelength of 0.221 nm0.221 nm frequency of 2.39*1018 Hz2.39*1018 Hz speed of 3.00*108 m/s3.00*108 m/s wavelength of 673 nm673 nm frequency of 4.85*1014 Hz4.85*1014 Hz speed of 3.00*108 km/s3.00*108 km/s Answer Bank

1) Speed of light (c) visible, X-rays

2) λ = 0.221 nm X-rays

3) λ = 673 nm Visible

4). f = 2.39 10¹⁸ Hz X-rays

5). f = 4.85 10¹⁴ Hz Visible

Explanation:

Electromagnetic radiation has several characteristics

The speed of the wave regardless of its wavelength or frequency is

c = 3 10⁸ m / s²

There is a relationship with speed

c = λ f

The speed c is for all waves (x-rays, visible)

Visible light has a wavelength between 400 nm to 700 nm,

X-ray light corresponds to wavelengths less than 10 nm

Light gamma rays for wavelength less than 0.1 nm

Let's look for the frequencies for the two ranges

Visible

f = c / λ

f = 3 10⁸/400 10⁻⁹ = 7.5 10¹⁴ Hz

f = 3 10⁸ ( / 700 10⁻⁹ = 4.29 10¹⁴ Hz

Visible range of the order of 10¹⁴ Hz

X-rays

f = 3 10⁸/10 10⁻⁹ = 3 10¹⁶ Hz

f = 3 10⁸ / 0.1 10⁻⁹ = 3 10¹⁸ Hz

X-ray higher frequency 10¹⁶ Hz

1) Speed of light (c) visible, X-rays

2) λ = 0.221 nm X-rays

3) λ = 673 nm Visible

4). f = 2.39 10¹⁸ Hz X-rays

5). f = 4.85 10¹⁴ Hz Visible