Question Detail
Question
Light travels at a speed of 2.0 × 10^8 m/s in a glass block. In the glass, the wavelength of the light is 4.0 × 10^-7 m. What is the frequency of the light?
Correct Answer
Option D is the correct answer.
Detailed Explanation
The relationship between the speed of light (v), frequency (f), and wavelength (λ) is given by the formula: v = fλ.We need to find the frequency (f), so we can rearrange the formula to f = v/λ.Given:Speed of light in glass (v) = 2.0 × 10^8 m/sWavelength of light in glass (λ) = 4.0 × 10^-7 mf = (2.0 × 10^8 m/s) / (4.0 × 10^-7 m)f = (2.0 / 4.0) × 10^(8 - (-7)) Hzf = 0.5 × 10^15 Hzf = 5.0 × 10^14 Hz
Hint
The frequency of light remains constant when it passes from one medium to another. The speed and wavelength change, but their ratio (frequency) does not.