Multiple Choice
How are wavelength and frequency of electromagnetic radiation related?
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9. Quantum Mechanics
Wavelength and Frequency
Multiple Choice
If the wavelength of light is 500 nm, what is its frequency? (Speed of light, c = 3.00 × 10^8 m/s)
A
6.00 × 10^{14} Hz
B
5.00 × 10^{16} Hz
C
3.00 × 10^{12} Hz
D
1.50 × 10^{15} Hz
Verified step by step guidance1
Identify the given values: wavelength \(\lambda = 500\ \text{nm}\) and speed of light \(c = 3.00 \times 10^{8}\ \text{m/s}\).
Convert the wavelength from nanometers to meters because the speed of light is in meters per second. Use the conversion \(1\ \text{nm} = 1 \times 10^{-9}\ \text{m}\), so \(\lambda = 500 \times 10^{-9}\ \text{m}\).
Recall the relationship between the speed of light, wavelength, and frequency: \(c = \lambda \times \nu\), where \(\nu\) is the frequency.
Rearrange the formula to solve for frequency: \(\nu = \frac{c}{\lambda}\).
Substitute the values of \(c\) and \(\lambda\) into the equation to find the frequency \(\nu\).
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