Light travels at 3.00x10^8 m/s in a vacuum. What is the wavelength of light that has a frequency of 6x10^14 hz in water?
Answer (1)
Answer:Here's how to solve this problem: Understanding the ConceptsSpeed of light: The speed of light in a vacuum is a constant, approximately 3.00 x 10^8 m/s.Refractive index: The refractive index of a medium (like water) tells us how much the speed of light slows down compared to its speed in a vacuum. Water has a refractive index of approximately 1.33.Frequency: The frequency of light remains constant even when it enters a different medium.Wavelength: The wavelength of light changes when it enters a different medium. The relationship between the speed of light, frequency, and wavelength is given by: - c = fλwhere: c is the speed of lightf is the frequencyλ is the wavelength Steps to Solve the Problem 1. Calculate the speed of light in water:Speed of light in water = (Speed of light in vacuum) / (Refractive index of water)Speed of light in water = (3.00 x 10^8 m/s) / 1.33Speed of light in water ≈ 2.26 x 10^8 m/s2. Calculate the wavelength:Wavelength (λ) = Speed of light in water / FrequencyWavelength (λ) = (2.26 x 10^8 m/s) / (6 x 10^14 Hz)Wavelength (λ) ≈ 3.77 x 10^-7 m AnswerThe wavelength of light with a frequency of 6 x 10^14 Hz in water is approximately 3.77 x 10^-7 meters or 377 nanometers.
