It looks like you've uploaded an image of a chemistry worksheet titled
"Electromagnetic Waves: Calculating Wavelength, Frequency, and Energy". The worksheet includes 10 problems that involve using the equations:
- \( c = \lambda \nu \) (speed of light = wavelength × frequency)
- \( E = h\nu \) (energy = Planck’s constant × frequency)
And it mentions there are
3 versions of the worksheet with a
worked answer key.
However, I can't see the actual problems or data from the image you've uploaded — only the cover page or title slide. To help you solve the problems, I need either:
1. A list of the specific questions from the worksheet.
2. The actual content of the problems (e.g., values for wavelength, frequency, energy, etc.).
3. Or you can type out the problems here.
But since I can’t access the image directly, I’ll explain how to solve typical problems of this type, so you can apply the method to your worksheet.
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🔬 Typical Problems & How to Solve Them
#### 🌐 Key Equations:
1. \( c = \lambda \nu \)
- \( c = 3.00 \times 10^8 \, \text{m/s} \) (speed of light in vacuum)
- \( \lambda \) = wavelength (in meters)
- \( \nu \) = frequency (in Hz, or s⁻¹)
2. \( E = h\nu \)
- \( h = 6.626 \times 10^{-34} \, \text{J·s} \) (Planck’s constant)
- \( E \) = energy of a photon (in joules)
You can combine both equations:
- \( E = \frac{hc}{\lambda} \) → if you have wavelength
- \( \lambda = \frac{hc}{E} \) → if you have energy
- \( \nu = \frac{c}{\lambda} \) → if you have wavelength
- \( \nu = \frac{E}{h} \) → if you have energy
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✔ Example Problem 1:
What is the frequency of light with a wavelength of \( 5.00 \times 10^{-7} \, \text{m} \)?
Solution:
Use \( \nu = \frac{c}{\lambda} \)
\[
\nu = \frac{3.00 \times 10^8 \, \text{m/s}}{5.00 \times 10^{-7} \, \text{m}} = 6.00 \times 10^{14} \, \text{Hz}
\]
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✔ Example Problem 2:
What is the energy of a photon with a frequency of \( 6.00 \times 10^{14} \, \text{Hz} \)?
Solution:
Use \( E = h\nu \)
\[
E = (6.626 \times 10^{-34}) \times (6.00 \times 10^{14}) = 3.98 \times 10^{-19} \, \text{J}
\]
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✔ Example Problem 3:
What is the wavelength of light with an energy of \( 3.98 \times 10^{-19} \, \text{J} \)?
Solution:
Use \( \lambda = \frac{hc}{E} \)
\[
\lambda = \frac{(6.626 \times 10^{-34})(3.00 \times 10^8)}{3.98 \times 10^{-19}} = 5.00 \times 10^{-7} \, \text{m} = 500 \, \text{nm}
\]
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🔍 Tips for Solving These Problems:
- Always convert units: wavelength must be in
meters, not nanometers (nm), unless converted.
- \( 1 \, \text{nm} = 10^{-9} \, \text{m} \)
- Energy is usually in
joules (J), but sometimes given in kJ/mol — convert as needed.
- Use scientific notation carefully.
- Check significant figures.
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📝 If You Provide the Actual Problems...
I can walk you through each one step-by-step and give full solutions.
Just copy-paste the 10 problems from your worksheet here, and I’ll solve them all with explanations!
Let me know!
Parent Tip: Review the logic above to help your child master the concept of wavelength and frequency worksheet.
