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A photon of blue light has a frequency of 7.50 × 10¹⁴ Hz. Calculate the wavelength of this photon (c = 3.00 × 10⁸ m/s) in nanometers. please show work



Sagot :

A photon of blue light has a frequency of 7.50 × 10¹⁴ Hz. The wavelength of the photon in nanometer is 400 nm.

What is wavelength?

Wavelength is the distance between two same points when a waveform is propagated in a wire or vacuum.

By the formula

[tex]v = \dfrac{c}{\lambda}[/tex]

The v is the frequency, 7.50 × 10¹⁴ Hz

c is the velocity of light in vacuum, 3.00 × 10⁸ m/s

Lambda is the wavelength

Putting the value in the equation

[tex]\lambda = \dfrac{3.00 \times 10^8}{7.50 \times 10^1^4} = 0.4 \times 10^-^6[/tex]

Thus, the  wavelength of the photon in nanometer is 400 nm.

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