What is the energy of a photon with a frequency of 5 x 10^14 Hz? (h = 6.63 x 10^

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Question: What is the energy of a photon with a frequency of 5 x 10^14 Hz? (h = 6.63 x 10^-34 J.s)

Options:

Correct Answer: 3.31 x 10^-19 J

Solution:

The energy of a photon is given by E = hν. Substituting the values gives E = 6.63 x 10^-34 J.s * 5 x 10^14 Hz = 3.31 x 10^-19 J.

What is the energy of a photon with a frequency of 5 x 10^14 Hz? (h = 6.63 x 10^-34 J.s)

What is the energy of a photon with a frequency of 5 x 10^14 Hz? (h = 6.63 x 10^-34 J.s)

Step 1: Identify the formula for the energy of a photon, which is E = hν, where E is energy, h is Planck's constant, and ν is frequency.
Step 2: Write down the values given in the question: h = 6.63 x 10^-34 J.s and ν = 5 x 10^14 Hz.
Step 3: Substitute the values into the formula: E = (6.63 x 10^-34 J.s) * (5 x 10^14 Hz).
Step 4: Perform the multiplication: 6.63 * 5 = 33.15 and combine the powers of 10: 10^-34 * 10^14 = 10^-20.
Step 5: Combine the results: E = 33.15 x 10^-20 J.
Step 6: Convert 33.15 x 10^-20 J to scientific notation: E = 3.315 x 10^-19 J.

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