Multiple Choice
Which of the following statements about light is correct?
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9. Quantum Mechanics
Wavelength and Frequency
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What is the frequency (s^{-1}) of electromagnetic radiation that has a wavelength of 2.3 m? (Speed of light, c = 3.00 imes 10^{8} m/s)
A
1.30 imes 10^{8} s^{-1}
B
7.67 imes 10^{7} s^{-1}
C
6.90 imes 10^{7} s^{-1}
D
2.30 imes 10^{8} s^{-1}
Verified step by step guidance1
Identify the given quantities: wavelength \( \lambda = 2.3 \text{ m} \) and speed of light \( c = 3.00 \times 10^{8} \text{ m/s} \).
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 \( \nu \): \[ \nu = \frac{c}{\lambda} \].
Substitute the known values into the equation: \[ \nu = \frac{3.00 \times 10^{8} \text{ m/s}}{2.3 \text{ m}} \].
Perform the division to find the frequency \( \nu \) in units of \( \text{s}^{-1} \) (Hertz).
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