The wavelength of light in a medium can be calculated using the formula:
\[ \text{Wavelength} = \frac{\text{Speed of Light in the Medium}}{\text{Frequency}} \]
Since the frequency of light remains constant across different media, the wavelength will be directly proportional to the speed of light in that medium. Therefore, the medium in which light travels at the highest speed will have the longest wavelength.
Based on the table you provided:
- Water: \(2.25 \times 10^8\) m/s
- Air: \(2.99 \times 10^8\) m/s
- Glass: \(1.97 \times 10^8\) m/s
- Diamond: \(1.24 \times 10^8\) m/s
From this data, Air has the highest speed of light at \(2.99 \times 10^8\) m/s. Therefore, light would have the longest wavelength in air.
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