Table of contents

1. Intro to General Chemistry3h 48m
2. Atoms & Elements4h 16m
3. Chemical Reactions4h 10m
4. BONUS: Lab Techniques and Procedures1h 38m
5. BONUS: Mathematical Operations and Functions48m
6. Chemical Quantities & Aqueous Reactions3h 53m
7. Gases3h 49m
8. Thermochemistry2h 37m
9. Quantum Mechanics2h 58m
10. Periodic Properties of the Elements3h 9m
11. Bonding & Molecular Structure3h 29m
12. Molecular Shapes & Valence Bond Theory1h 57m
13. Liquids, Solids & Intermolecular Forces2h 23m
14. Solutions3h 1m
15. Chemical Kinetics2h 53m
16. Chemical Equilibrium2h 29m
17. Acid and Base Equilibrium5h 1m
18. Aqueous Equilibrium4h 47m
19. Chemical Thermodynamics1h 50m
20. Electrochemistry2h 42m
21. Nuclear Chemistry2h 36m
22. Organic Chemistry5h 7m
23. Chemistry of the Nonmetals2h 39m
24. Transition Metals and Coordination Compounds3h 16m

9. Quantum Mechanics

Wavelength and Frequency

General Chemistry

9. Quantum Mechanics

Wavelength and Frequency

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Multiple Choice

What is the wavelength in nanometers of light with a frequency of 7.8 × 10^15 Hz?

12.8 nm

25.6 nm

38.5 nm

50.0 nm

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Verified step by step guidance

Identify the relationship between frequency and wavelength using the speed of light equation: c = λν, where c is the speed of light (approximately 3.00 × 10^8 m/s), λ is the wavelength, and ν is the frequency.

Rearrange the equation to solve for wavelength (λ): λ = c/ν.

Substitute the given frequency (ν = 7.8 × 10^15 Hz) and the speed of light (c = 3.00 × 10^8 m/s) into the equation: λ = (3.00 × 10^8 m/s) / (7.8 × 10^15 Hz).

Perform the division to find the wavelength in meters. Remember that 1 Hz is equivalent to 1/s, so the units will cancel appropriately.

Convert the wavelength from meters to nanometers by multiplying the result by 1 × 10^9 nm/m, since 1 meter equals 1 × 10^9 nanometers.