QuestionJuly 2, 2025

Calculate the energy of a red light photon with a frequency of 5.00times 10^14

Calculate the energy of a red light photon with a frequency of 5.00times 10^14
Calculate the energy of a red light photon with a frequency of 5.00times 10^14

Solution
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Answer

3.313 \times 10^{-19} \, \text{J} Explanation 1. Identify the formula for energy of a photon The energy of a photon is given by **E = h \cdot f**, where h is Planck's constant (6.626 \times 10^{-34} \, \text{J}\cdot\text{s}) and f is the frequency. 2. Substitute the values into the formula Substitute h = 6.626 \times 10^{-34} \, \text{J}\cdot\text{s} and f = 5.00 \times 10^{14} \, \text{Hz} into the formula: E = (6.626 \times 10^{-34}) \cdot (5.00 \times 10^{14}). 3. Calculate the energy Perform the multiplication: E = 3.313 \times 10^{-19} \, \text{J}.

Explanation

1. Identify the formula for energy of a photon<br /> The energy of a photon is given by **$E = h \cdot f$**, where $h$ is Planck's constant ($6.626 \times 10^{-34} \, \text{J}\cdot\text{s}$) and $f$ is the frequency.<br />2. Substitute the values into the formula<br /> Substitute $h = 6.626 \times 10^{-34} \, \text{J}\cdot\text{s}$ and $f = 5.00 \times 10^{14} \, \text{Hz}$ into the formula: $E = (6.626 \times 10^{-34}) \cdot (5.00 \times 10^{14})$.<br />3. Calculate the energy<br /> Perform the multiplication: $E = 3.313 \times 10^{-19} \, \text{J}$.
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