Question
A blue light has a wavelength of 483 nm . What is the wavelength in meters? Give your answer in proper scientific notation. \[ [?] \times 10^{[?]} \mathrm{m} \] Enter the coefficient in the green box and the exponent in the yellow box.
Ask by Ortiz Gardner. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The wavelength is \(4.83 \times 10^{-7}\) meters.
Solution
Calculate or simplify the expression \( 483 \times 10^{-9} \).
Calculate the value by following steps:
- step0: Calculate:
\(483\times 10^{-9}\)
- step1: Express with a positive exponent:
\(483\times \frac{1}{10^{9}}\)
- step2: Multiply:
\(\frac{483}{10^{9}}\)
The wavelength of the blue light in meters is \(4.83 \times 10^{-7}\) m.
Therefore, the coefficient is 4.83 and the exponent is -7.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To convert the wavelength from nanometers to meters, you need to remember that 1 nanometer (nm) is equal to \(1 \times 10^{-9}\) meters. Therefore, to convert 483 nm to meters, you multiply by \(1 \times 10^{-9}\): \[ 483 \, \text{nm} = 483 \times 10^{-9} \, \text{m} = 4.83 \times 10^{-7} \, \text{m} \] Thus, the answer in scientific notation is: \[ [4.83] \times 10^{-7} \, \text{m} \]
