A blue light has a wavelength of [tex]$483 \, \text{nm}$[/tex]. What is the wavelength in meters?

[tex][?] \times 10^{[?]} \, \text{m}[/tex]

Be sure to enter both the coefficient and the exponent.

Coefficient (green) [tex]$\qquad$[/tex] Exponent (yellow)



Answer :

To convert the wavelength of blue light from nanometers to meters, we can follow these steps:

1. Understand the Conversion Factor: We know that [tex]\(1 \text{ nanometer (nm)} = 1 \times 10^{-9} \text{ meters (m)}\)[/tex].

2. Convert the Given Wavelength: The given wavelength is [tex]\(483 \text{ nm}\)[/tex]. To convert this to meters, we multiply by the conversion factor:
[tex]\[ 483 \text{ nm} \times 1 \times 10^{-9} \text{ m/nm} = 4.83 \times 10^{-7} \text{ m} \][/tex]

3. Express the Result in Scientific Notation: The wavelength in meters [tex]\(4.83 \times 10^{-7}\)[/tex] is already in scientific notation. Here, [tex]\(4.83\)[/tex] is the coefficient and [tex]\(-7\)[/tex] is the exponent.

Therefore, the wavelength of [tex]\(483 \text{ nm}\)[/tex] in meters is expressed as:
[tex]\[ 4.83 \times 10^{-7} \text{ m} \][/tex]

Coefficient (green): 4.83

Exponent (yellow): -7