If a photon has energy of 5 eV, what is its corresponding frequency?

Practice Questions

Q1
If a photon has energy of 5 eV, what is its corresponding frequency?
  1. 6.2 x 10^14 Hz
  2. 7.5 x 10^14 Hz
  3. 8.0 x 10^14 Hz
  4. 9.0 x 10^14 Hz

Questions & Step-by-Step Solutions

If a photon has energy of 5 eV, what is its corresponding frequency?
  • Step 1: Understand that we need to find the frequency (ν) of a photon given its energy (E).
  • Step 2: Recall the formula that relates energy and frequency: ν = E/h, where h is Planck's constant.
  • Step 3: Identify the values: E = 5 eV and h = 4.14 x 10^-15 eV·s.
  • Step 4: Substitute the values into the formula: ν = 5 eV / (4.14 x 10^-15 eV·s).
  • Step 5: Perform the division: 5 / (4.14 x 10^-15) to calculate the frequency.
  • Step 6: The result of the calculation gives you the frequency: ν = 7.5 x 10^14 Hz.
  • Photon Energy and Frequency Relationship – The relationship between the energy of a photon and its frequency is given by the equation E = hν, where E is energy, h is Planck's constant, and ν is frequency.
  • Unit Conversion – Understanding the need to convert energy units (eV to Joules) if necessary, although in this case, the units are consistent.
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