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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?
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Practice Questions
1 question
Q1
What is the wavelength of a photon with a frequency of 6 x 10^14 Hz?
5 x 10^-7 m
3 x 10^-7 m
6 x 10^-7 m
1 x 10^-6 m
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Wavelength λ = c/f = (3 x 10^8 m/s) / (6 x 10^14 Hz) = 5 x 10^-7 m.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the wavelength of a photon with a frequency of 6 x 10^14 Hz?
Solution:
Wavelength λ = c/f = (3 x 10^8 m/s) / (6 x 10^14 Hz) = 5 x 10^-7 m.
Steps: 6
Show Steps
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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