Question Detail
Question
Light travels at a speed of 2.0 × 10⁸ 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), its frequency (f), and its wavelength (λ) is given by the formula: v = fλ.We need to find the frequency (f), so f = v / λ.Given:Speed of light in glass (v) = 2.0 × 10⁸ m/sWavelength of light in glass (λ) = 4.0 × 10⁻⁷ mf = (2.0 × 10⁸ m/s) / (4.0 × 10⁻⁷ m)f = (2.0 / 4.0) × 10^(8 - (-7)) Hzf = 0.5 × 10^(8 + 7) Hzf = 0.5 × 10¹⁵ Hzf = 5.0 × 10¹⁴ Hz.
Hint
Use the wave equation: speed = frequency × wavelength.