What is the wavelength (in nm) of a photon if the energy is 7.15 × 10-1⁹ J? (h = 6.626 x 10-34 J.s)

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Chapter1: Chemical Foundations
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**Question: Calculating the Wavelength of a Photon**

What is the wavelength (in nm) of a photon if the energy is \(7.15 \times 10^{-19}\) J? 

Given:
- Planck’s constant (\(h\)) = \(6.626 \times 10^{-34}\) J•s

**Explanation:**

To find the wavelength, use the formula:
\[
\lambda = \frac{hc}{E}
\]

Where:
- \(\lambda\) is the wavelength,
- \(h\) is Planck’s constant,
- \(c\) is the speed of light (\(3.00 \times 10^8\) m/s),
- \(E\) is the energy of the photon.

To convert the result to nanometers (nm), recall that \(1 \text{ m} = 10^9 \text{ nm}\).
Transcribed Image Text:**Question: Calculating the Wavelength of a Photon** What is the wavelength (in nm) of a photon if the energy is \(7.15 \times 10^{-19}\) J? Given: - Planck’s constant (\(h\)) = \(6.626 \times 10^{-34}\) J•s **Explanation:** To find the wavelength, use the formula: \[ \lambda = \frac{hc}{E} \] Where: - \(\lambda\) is the wavelength, - \(h\) is Planck’s constant, - \(c\) is the speed of light (\(3.00 \times 10^8\) m/s), - \(E\) is the energy of the photon. To convert the result to nanometers (nm), recall that \(1 \text{ m} = 10^9 \text{ nm}\).
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