Given:
λ = 4.725 * 10^-7 m (wavelength)
C = 3.00 * 10^8 m/s (speed of light)
To find:
f (frequency)
Step 1: Rearrange the equation to solve for frequency:
f = C / λ
Step 2: Plug in the values:
f = (3.00 * 10^8) / (4.725 * 10^-7)
f = 6.34 * 10^14 Hz
Therefore, the frequency of the unknown color of light is 6.34 * 10^14 Hz.
Now, let's determine the color of light using the frequency table:
Color | Frequency (Hz)
--------------------------------------------
Violet | 7.5 * 10^14 to 8 * 10^14
Blue | 6.5 * 10^14 to 7.5 * 10^14
Green | 5.75 * 10^14 to 6.5 * 10^14
Yellow | 5 * 10^14 to 5.75 * 10^14
Orange | 4.75 * 10^14 to 5 * 10^14
Red | 4 * 10^14 to 4.75 * 10^14
The frequency falls in the range of 6.5 * 10^14 to 7.5 * 10^14 Hz, so the color of the light is Blue.
A wavelength of an unknown color of light was measured to be 4.725 * 10^−7m. Using the equation below, solve for its frequency and determine the color of light using the table provided.
Here is what your hand-written work needs to show for credit:
identify each of the givens and the unknown to solve for (3pts)
show the work you did step by step to solve the problem (1pt),
write the correct, rounded answer (to the nearest tenth) with the correct units and circle/box your answer (1pt each or 3pts total)
write the color and circle/box your answer (1pt)
C=λf
3 answers
Red is 4.9-4.0
Orange is 5.1-4.9
Yellow is 5.3-5.1
Green is 6.0-5.3
Blue is 6.7-6.0
Violet is 7.5-6.7
Orange is 5.1-4.9
Yellow is 5.3-5.1
Green is 6.0-5.3
Blue is 6.7-6.0
Violet is 7.5-6.7
Thank you for the correction:
Given:
Wavelength (λ) = 4.725 * 10^-7 m
Speed of light (C) = 3.00 * 10^8 m/s
To find:
Frequency (f)
Step 1: Rearrange the equation to solve for frequency:
f = C / λ
Step 2: Plug in the values:
f = (3.00 * 10^8) / (4.725 * 10^-7)
f = 6.34 * 10^14 Hz
Therefore, the frequency of the unknown color of light is 6.34 * 10^14 Hz.
Now, let's determine the color of light using the frequency table provided:
- Red: 4.0 * 10^14 to 4.9 * 10^14
- Orange: 4.9 * 10^14 to 5.1 * 10^14
- Yellow: 5.1 * 10^14 to 5.3 * 10^14
- Green: 5.3 * 10^14 to 6.0 * 10^14
- Blue: 6.0 * 10^14 to 6.7 * 10^14
- Violet: 6.7 * 10^14 to 7.5 * 10^14
The frequency falls in the range of 6.0 * 10^14 to 6.7 * 10^14 Hz, so the color of the light is Blue.
Given:
Wavelength (λ) = 4.725 * 10^-7 m
Speed of light (C) = 3.00 * 10^8 m/s
To find:
Frequency (f)
Step 1: Rearrange the equation to solve for frequency:
f = C / λ
Step 2: Plug in the values:
f = (3.00 * 10^8) / (4.725 * 10^-7)
f = 6.34 * 10^14 Hz
Therefore, the frequency of the unknown color of light is 6.34 * 10^14 Hz.
Now, let's determine the color of light using the frequency table provided:
- Red: 4.0 * 10^14 to 4.9 * 10^14
- Orange: 4.9 * 10^14 to 5.1 * 10^14
- Yellow: 5.1 * 10^14 to 5.3 * 10^14
- Green: 5.3 * 10^14 to 6.0 * 10^14
- Blue: 6.0 * 10^14 to 6.7 * 10^14
- Violet: 6.7 * 10^14 to 7.5 * 10^14
The frequency falls in the range of 6.0 * 10^14 to 6.7 * 10^14 Hz, so the color of the light is Blue.