Question

3. The relationship between the velocity, frequency, and wavelength of a wave is given by v = λf. Since the frequency remains constant when light travels between different media, an expression can be written to solve for λ₂. For medium 1, v₁ = f₁₁ and for medium 2, v₂ = f₂λ2. By making an appropriate substitution, write a mathematical expression for A₂, in terms of V₁, V₂, and A₂. Show all your work and submit it in the results section.

Answer 1

The relationship between the velocity, frequency, and wavelength of a wave can be solved for in different media. The mathematical expression for λ₂ is provided.The mathematical expression for λ₂ is: λ₂ = v₁ / f₂ * v₂.

Step-by-step explanation:

The relationship between the velocity, frequency, and wavelength of a wave is given by v = λf.

Since the frequency remains constant when light travels between different media, we can use the equation v = c/n to relate the velocities of the two media, where c is the speed of light and n is the index of refraction.

By substituting v₁ = c/n₁ for medium 1 and v₂ = c/n₂ for medium 2 into the equation v = λf, we can solve for λ₂ in terms of v₁, v₂, and λ₂.

The mathematical expression for λ₂ is: λ₂ = v₁ / f₂ * v₂.