11 **Problems and Solutions** **7. Problem Statement:**The wavelength of green light from a traffic signal is centered at 5.20 x 10⁻⁵ cm. Calculate the frequency of this light.- Note: Convert cm to m. - 1m = 100cm**Solution Steps:**- Convert wavelength to meters: \( \text{wavelength} = 5.20 \times 10^{-5} \text{ cm} = 5.20 \times 10^{-7} \text{ m} \)- Use the formula: \( v = \frac{c}{\lambda} \)- Calculation: \( v = \frac{3 \times 10^8 \text{ m/s}}{5.20 \times 10^{-7} \text{ m}} = 5.77 \times 10^{14} \text{ Hz} \)**8. Problem Statement:**Calculate the frequency of light that has a wavelength of 425nm. Identify the type of electromagnetic radiation.- Note: \( 1\text{nm} = 1 \times 10^{-9} \text{m} \)**Solution Steps:**- Convert: \( \text{wavelength} = 425 \text{ nm} = 425 \times 10^{-9} \text{ m} = 4.25 \times 10^{-7} \text{ m} \)- Use the formula: \( v = \frac{c}{\lambda} \)- Calculation: \( v = \frac{3 \times 10^8 \text{ m/s}}{4.25 \times 10^{-7} \text{ m}} = 7.06 \times 10^{14} \text{ Hz} \)- Type of radiation: UV radiation**9. Problem Statement:**What wavelength (λ) of radiation has photons of energy \( E \) at \( 2.87 \times 10^{-16} \text{ J} \)?**Solution Steps:**- Use the formula: \( E = \frac{hc}{\lambda} \), solve for λ- Calculation involves rearranging to find \( \lambda \)**10. Problem Statement:**A photon of visible light has a frequency (ν) of 4.3 x 10¹⁴ s

Given , Wavelength = 322 nm = 3.22×10^-7 m

Answered: 11. Calculate the energy(E) of a photon…

11. Calculate the energy(E) of a photon of radiation whose wavelength(^) is 322nm. Note: (1nm=1x10–9-m)

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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