What is the frequency (s^{-1}) of light that has a wavelength of 1.23 \times 10^{-6} cm? (Speed of light, c = 3.00 \times 10^{10} cm/s)

• A. 2.44 \times 10^{16} s^{-1}
• B. 3.69 \times 10^{16} s^{-1}
• C. 2.44 \times 10^{14} s^{-1}
• D. 3.69 \times 10^{14} s^{-1}

Answer: (C)

Verified step by step guidance

1. Identify the given quantities: wavelength \(\lambda = 1.23 \times 10^{-6}\) cm and speed of light \(c = 3.00 \times 10^{10}\) cm/s.
2. Recall the relationship between the speed of light, wavelength, and frequency: \(c = \lambda \times \nu\), where \(\nu\) is the frequency.
3. Rearrange the formula to solve for frequency: \(\nu = \frac{c}{\lambda}\).
4. Substitute the given values into the equation: \(\nu = \frac{3.00 \times 10^{10} \text{ cm/s}}{1.23 \times 10^{-6} \text{ cm}}\).
5. Perform the division to find the frequency in s\(^{-1}\) (Hz).