객관식
Which of the following phenomena can only be explained by considering the wave nature of light?
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9. Quantum Mechanics
Wavelength and Frequency
객관식
What is the frequency (in Hz) of light whose wavelength is 633 nm? (Speed of light, c = 3.00 × 10^8 m/s)
A
6.33 × 10^{13} Hz
B
1.90 × 10^{15} Hz
C
2.12 × 10^{12} Hz
D
4.74 × 10^{14} Hz
검증된 단계별 안내1
Identify the given values: wavelength \( \lambda = 633 \text{ nm} \) 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 \( \lambda = 633 \times 10^{-9} \text{ m} \).
Recall the relationship between the speed of light, wavelength, and frequency: \[ c = \lambda \times f \] where \( f \) is the frequency.
Rearrange the formula to solve for frequency \( f \): \[ f = \frac{c}{\lambda} \].
Substitute the known values into the equation and calculate \( f \) (frequency) in hertz (Hz).
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