What is the frequency (s^{-1}) of electromagnetic radiation that has a wavelength of 2.3 m? (Speed of light, c = 3.00 imes 10^{8} m/s)

• A. 1.30 imes 10^{8} s^{-1}
• B. 7.67 imes 10^{7} s^{-1}
• C. 6.90 imes 10^{7} s^{-1}
• D. 2.30 imes 10^{8} s^{-1}

Answer: (A)

Verified step by step guidance

1. Identify the given quantities: wavelength \( \lambda = 2.3 \text{ m} \) and speed of light \( c = 3.00 \times 10^{8} \text{ m/s} \).
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 \( \nu \): \[ \nu = \frac{c}{\lambda} \].
4. Substitute the known values into the equation: \[ \nu = \frac{3.00 \times 10^{8} \text{ m/s}}{2.3 \text{ m}} \].
5. Perform the division to find the frequency \( \nu \) in units of \( \text{s}^{-1} \) (Hertz).