The relationship between wave speed (𝑣), wavelength (λ), and frequency (𝑓) is given by: v=fλ. Rearrange to solve for 𝜆: 𝜆=𝑣/𝑓=300m/s/150Hz=2 m. λ=v/ f = 300m/s/150Hz=2m.
Longitudinal waves are characterized by particle oscillations parallel to the direction of wave propagation. Sound waves are a classic example, as air particles vibrate along the direction the wave travels.
As light enters a denser medium like glass, its speed decreases. Since frequency remains constant, the wavelength must also decrease, as given by 𝑣=𝑓𝜆.
Snell’s Law: 𝑛1sin𝜃1=𝑛2sin𝜃2. θ 2 =arcsin(0.376)≈22.1 ∘ .
The formula for the fringe position in a double-slit experiment is: 𝑦=𝑚𝜆𝐿/𝑑, λ= y⋅d/m⋅L = 0.003⋅0.0005/1⋅2=0.0000005m=500nm.
