Given light with frequencies of: 5.5 x 1014 hz, 7 x 1014 hz and 8 x 1014 hz, calculate the wavelengths in free space. what color are these waves?

Explanation:

The relation between frequency and wavelength is shown below as:

c = frequency × Wavelength

Where, c is the speed of light having value = 3×10⁸ m/s

So, Wavelength  is:

Wavelength  = c / Frequency

Given:

Frequency = 5.5 × 10¹⁴ Hz

So,

Wavelength  = 3×10⁸ m/s  / 5.5 × 10¹⁴ Hz = 545 × 10⁻⁹ m = 545 nm  (1 nm = 10⁻⁹ m )

This wavelength corresponds to green color.

Frequency = 7 × 10¹⁴ Hz

So,

Wavelength  = 3×10⁸ m/s  / 7 × 10¹⁴ Hz = 428 × 10⁻⁹ m = 428 nm  (1 nm = 10⁻⁹ m )

This wavelength corresponds to  Violet color.

Frequency = 8 × 10¹⁴ Hz

So,

Wavelength  = 3×10⁸ m/s  / 8 × 10¹⁴ Hz = 375 × 10⁻⁹ m = 375 nm  (1 nm = 10⁻⁹ m )

It does not fall in visible region. So no color. It is in UV region.

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