Respuesta :

Explanation:

One meter is equal to [tex]10^{9}nm[/tex], so:

[tex]7.60*10^{-10}m*\frac{10^9nm}{1m}=0.76nm[/tex]

This wavelength does not correspond to any color of the visible spectrum. A wavelength of [tex]0.76nm[/tex] would correspond to soft X-rays, since these electromagnetic radiation have a wavelegth range from [tex]1nm[/tex] to [tex]0.1nm[/tex].

Considering the change of units and the definition of wavelength, the light had a wavelength of 0.76 nm.

Wavelength

Wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).

This case

The light had a wavelength of 7.60×10⁻¹⁰ m.

To perform in this case the conversion of units, you must first know that 1 meter is equal to 10⁹ nm. So, if 10⁹ nm is 1 m, how many nm equals 7.60×10⁻¹⁰ m?

1 m ⇒ 10⁹ nm

7.60×10⁻¹⁰ m ⇒ x

So: [tex]x=\frac{7.60x10^{-10} mx10^{9} nm}{1 m} [/tex]

Solving:

x= 0.76 nm

In summary, the light had a wavelength of 0.76 nm.

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