Green light has a frequency of 6.0 × 1014 Hz. Using a speed of 3.0 × 108 m/s, what is its wavelength?
Question 1 Report
Green light has a frequency of 6.0 × 1014 Hz. Using a speed of 3.0 × 108 m/s, what is its wavelength?
Answer Details
Using \(c = f\lambda\), rearrange for wavelength:
\[\lambda = \frac{c}{f} = \frac{3.0 \times 10^8}{6.0 \times 10^{14}} = 5.0 \times 10^{-7} \text{ m}\]
This is 500 nm, which lies in the visible light range and matches green light. The option \(1.8 \times 10^{23}\) m comes from multiplying \(c \times f\). The option \(5.0 \times 10^{-6}\) m has the wrong power of ten. The option \(2.0 \times 10^{6}\) m uses \(f/c\) instead of \(c/f\).
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