What is the wavelength of a photon with a frequency of 5 x 10^14 Hz?

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Question: What is the wavelength of a photon with a frequency of 5 x 10^14 Hz?

Options:

Correct Answer: 6 x 10^-7 m

Solution:

Using the formula λ = c/f, where c = 3 x 10^8 m/s, λ = 3 x 10^8 / (5 x 10^14) = 6 x 10^-7 m.

What is the wavelength of a photon with a frequency of 5 x 10^14 Hz?

What is the wavelength of a photon with a frequency of 5 x 10^14 Hz?

Step 1: Identify the formula to calculate wavelength (λ). The formula is λ = c / f, where c is the speed of light and f is the frequency.
Step 2: Write down the values you have. The frequency (f) is given as 5 x 10^14 Hz, and the speed of light (c) is 3 x 10^8 m/s.
Step 3: Substitute the values into the formula. Replace c with 3 x 10^8 m/s and f with 5 x 10^14 Hz in the formula: λ = (3 x 10^8) / (5 x 10^14).
Step 4: Perform the division. Calculate 3 x 10^8 divided by 5 x 10^14.
Step 5: Simplify the calculation. This gives you λ = 0.6 x 10^-6 m, which can be rewritten as 6 x 10^-7 m.
Step 6: Write down the final answer. The wavelength of the photon is 6 x 10^-7 meters.

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