What is the frequency (in Hz) of yellow light with a wavelength of 600 nm? (Speed of light, c = 3.00 × 10^8 m/s)

• A. 1.80 × 10^{13} Hz
• B. 5.00 × 10^{14} Hz
• C. 2.00 × 10^{15} Hz
• D. 3.00 × 10^{12} Hz

Answer: (B)

Verified step by step guidance

1. Identify the given values: wavelength \( \lambda = 600 \text{ nm} \) and speed of light \( c = 3.00 \times 10^{8} \text{ m/s} \).
2. 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 \( \lambda = 600 \times 10^{-9} \text{ m} \).
3. Recall the relationship between the speed of light, wavelength, and frequency: \[ c = \lambda \times f \] where \( f \) is the frequency.
4. Rearrange the formula to solve for frequency \( f \): \[ f = \frac{c}{\lambda} \].
5. Substitute the known values into the equation and calculate the frequency: \[ f = \frac{3.00 \times 10^{8} \text{ m/s}}{600 \times 10^{-9} \text{ m}} \].