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What is the wavelength of light with a frequency of 5 x 10^14 Hz? (Speed of ligh
What is the wavelength of light with a frequency of 5 x 10^14 Hz? (Speed of light = 3 x 10^8 m/s)
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What is the wavelength of light with a frequency of 5 x 10^14 Hz? (Speed of light = 3 x 10^8 m/s)
0.6 m
0.5 m
0.4 m
0.3 m
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Wavelength λ = c / f = (3 x 10^8 m/s) / (5 x 10^14 Hz) = 0.6 x 10^-6 m = 0.6 µm.
Questions & Step-by-step Solutions
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Q
Q: What is the wavelength of light with a frequency of 5 x 10^14 Hz? (Speed of light = 3 x 10^8 m/s)
Solution:
Wavelength λ = c / f = (3 x 10^8 m/s) / (5 x 10^14 Hz) = 0.6 x 10^-6 m = 0.6 µm.
Steps: 6
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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 speed of light (c) is 3 x 10^8 m/s and the frequency (f) is 5 x 10^14 Hz.
Step 3: Substitute the values into the formula. So, λ = (3 x 10^8 m/s) / (5 x 10^14 Hz).
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.
Step 6: Convert the result into micrometers (µm). Since 1 µm = 10^-6 m, λ = 0.6 µm.
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