Which energy wave would have the highest frequency from the wavelengths provided?

• A. Wave A (453 nm)
• B. Wave B (707 nm)
• C. Wave C (325 nm)
• D. Wave D (910 nm)

Answer: (C)

Verified step by step guidance

1. Understand the relationship between wavelength and frequency: The frequency of a wave is inversely proportional to its wavelength. This means that as the wavelength decreases, the frequency increases.
2. Identify the formula that relates wavelength and frequency: The formula is \( c = \lambda \cdot f \), where \( c \) is the speed of light (approximately \( 3.00 \times 10^8 \) meters per second), \( \lambda \) is the wavelength, and \( f \) is the frequency.
3. Convert the given wavelengths from nanometers to meters: Since 1 nanometer (nm) is \( 1 \times 10^{-9} \) meters, convert each wavelength to meters. For example, Wave A's wavelength is \( 453 \) nm, which is \( 453 \times 10^{-9} \) meters.
4. Calculate the frequency for each wave using the formula \( f = \frac{c}{\lambda} \). Substitute the speed of light and the converted wavelength into the formula to find the frequency for each wave.
5. Compare the calculated frequencies: The wave with the highest frequency will have the smallest wavelength. Based on the calculations, identify which wave has the highest frequency.