What is the wavelength of a photon with a frequency of 6 x 10^14 Hz?

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Question: What is the wavelength of a photon with a frequency of 6 x 10^14 Hz?

Options:

Correct Answer: 5 x 10^-7 m

Solution:

Wavelength λ = c/f = (3 x 10^8 m/s) / (6 x 10^14 Hz) = 5 x 10^-7 m.

What is the wavelength of a photon with a frequency of 6 x 10^14 Hz?

What is the wavelength of a photon with a frequency of 6 x 10^14 Hz?

Step 1: Understand the formula for wavelength (λ). The formula is λ = c / f, where c is the speed of light and f is the frequency.
Step 2: Identify the values you have. The frequency (f) is given as 6 x 10^14 Hz, and the speed of light (c) is approximately 3 x 10^8 m/s.
Step 3: Plug the values into the formula. Replace c with 3 x 10^8 m/s and f with 6 x 10^14 Hz in the formula: λ = (3 x 10^8 m/s) / (6 x 10^14 Hz).
Step 4: Perform the division. Calculate (3 x 10^8) / (6 x 10^14). This simplifies to 0.5 x 10^-6 m.
Step 5: Convert the result to scientific notation. 0.5 x 10^-6 m is the same as 5 x 10^-7 m.
Step 6: Write down the final answer. The wavelength of the photon is 5 x 10^-7 m.

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