Multiple Choice
Calculate the wavelength of light produced if an electron moves from n=5 state to n=3 state in a hydrogen atom. Use the Rydberg formula: 1/λ = R_H (1/n1² - 1/n2²), where R_H = 1.097 x 10^7 m^-1.
9. Quantum Mechanics
Wavelength and Frequency
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Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
What is the frequency of a photon with a wavelength of 3,000 nm?
A
1.00 x 10^15 Hz
B
1.00 x 10^12 Hz
C
1.00 x 10^13 Hz
D
1.00 x 10^14 Hz
Verified step by step guidance1
Identify the relationship between wavelength and frequency using the equation: \( c = \lambda \nu \), where \( c \) is the speed of light (approximately \( 3.00 \times 10^8 \) m/s), \( \lambda \) is the wavelength, and \( \nu \) is the frequency.
Convert the given wavelength from nanometers to meters. Since 1 nm = \( 1 \times 10^{-9} \) m, multiply 3,000 nm by \( 1 \times 10^{-9} \) to convert it to meters.
Rearrange the equation \( c = \lambda \nu \) to solve for frequency \( \nu \): \( \nu = \frac{c}{\lambda} \).
Substitute the values for \( c \) and \( \lambda \) into the equation: \( \nu = \frac{3.00 \times 10^8 \text{ m/s}}{\text{wavelength in meters}} \).
Calculate the frequency \( \nu \) using the substituted values to find the answer in Hz.
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Wavelength and Frequency practice set
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