A photon is released with a frequency of 6.0 × 10^{14} Hz. What is the wavelength λ of this photon?

• A. 1.8 × 10^{-6} m
• B. 5.0 × 10^{-7} m
• C. 3.0 × 10^{-4} m
• D. 2.0 × 10^{-8} m

Answer: (B)

Verified step by step guidance

1. Recall the relationship between the speed of light (c), frequency (f), and wavelength (λ) of a photon, which is given by the equation: \(c = \lambda \times f\).
2. Identify the known values: the speed of light \(c\) is approximately \$3.0 \times 10^{8}\( m/s, and the frequency \)f\( is given as \)6.0 \times 10^{14}$ Hz.
3. Rearrange the equation to solve for the wavelength \(\lambda\): \(\lambda = \frac{c}{f}\).
4. Substitute the known values into the rearranged equation: \(\lambda = \frac{3.0 \times 10^{8} \text{ m/s}}{6.0 \times 10^{14} \text{ Hz}}\).
5. Perform the division to find the wavelength \(\lambda\) in meters, which will give you the wavelength of the photon.