Questions: A blue light has a 460 nm wavelength. What is the wavelength of the light in meters? Give your answer in proper scientific notation. [?] × 10^[?] m Enter the coefficient in the green box and the exponent in the yellow box.

Solution Steps

• The wavelength of the blue light is given as 460 nm.
• To convert nanometers to meters, use the conversion factor \(1 \, \text{nm} = 10^{-9} \, \text{m}\).

• Multiply the given wavelength by the conversion factor: \[ 460 \, \text{nm} \times 10^{-9} \, \text{m/nm} = 460 \times 10^{-9} \, \text{m} \]

• Rewrite \(460 \times 10^{-9} \, \text{m}\) in proper scientific notation: \[ 4.60 \times 10^{-7} \, \text{m} \]

• The wavelength of the blue light in meters is: \[ 4.60 \times 10^{-7} \, \text{m} \]

Final Answer