alculate the frequency of green light with a vavelength of \( 4,9 \times 10^{-7} \mathrm{~m} \). INSTRUCTION: - Write your answer in scientific notation, and then round it to two decimal places. - Use the list of constants available
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To calculate the frequency of green light, we can use the formula: \[ f = \frac{c}{\lambda} \] where: - \( f \) is the frequency, - \( c \) is the speed of light (\(3 \times 10^8 \) m/s), and - \( \lambda \) is the wavelength (\(4.9 \times 10^{-7} \) m). Plugging in the values: \[ f = \frac{3 \times 10^8 \text{ m/s}}{4.9 \times 10^{-7} \text{ m}} \approx 6.12 \times 10^{14} \text{ Hz} \] So the frequency of green light is approximately \(6.12 \times 10^{14} \text{ Hz}\) when rounded to two decimal places. To get a little more excited about light: did you know that green light falls in the visible spectrum and is actually the most sensitive color to the human eye? Our eyes are biologically designed to detect green wavelengths best—it's why traffic lights often use green! Now, isn’t that a fun fact? Moreover, frequency and wavelength are inversely related! This means, as the wavelength gets shorter, like that of blue light, the frequency increases. Conversely, longer wavelengths (think red light) have lower frequencies. This beautiful dance of light helps us understand not just colors but also concepts like infrared and ultraviolet light!
