(c) The light that produces one of the lines on the screen has a wavelength of 588.2 nm. Calculate the frequency of this light. Speed of light in air=3.0times 10^8ms^-1 Show your working

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(c) The light that produces one of the lines on the screen has a wavelength of 588.2 nm. Calculate the frequency of this light. Speed of light in air=3.0times 10^8ms^-1 Show your working

Answer 1

After performing the calculation, we find that the frequency of the light is approximately \( 5.09 \times 10^{14} \, Hz \).

Answer 2

## Step1: First, we need to understand the relationship between the speed of light (c), the wavelength of light (λ), and its frequency (ν). The frequency of light is calculated by dividing the speed of light by its wavelength. ### The formula to calculate the frequency of light is: \( \nu = \frac{c}{\lambda} \) ## Step2: Next, we need to convert the given wavelength from nanometers (nm) to meters (m) because the speed of light is given in meters per second (m/s). ### To convert nanometers to meters, we use the conversion factor \( 1 \, nm = 1 \times 10^{-9} \, m \). Thus, \( \lambda = 588.2 \, nm = 588.2 \times 10^{-9} \, m \). ## Step3: Finally, we can substitute the values of the speed of light and the wavelength into the formula and calculate the frequency. ### Substituting the values into the formula, we get \( \nu = \frac{3.0 \times 10^{8} \, m/s}{588.2 \times 10^{-9} \, m} \).

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(c) The light that produces one of the lines on the screen has a wavelength of 588.2 nm. Calculate the frequency of this light. Speed of light in air=3.0times 10^8ms^-1 Show your working

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