Understanding Snell's Law

What is the mathematical expression of Snell's Law?

• n1 * sin(θ1) = n2 * sin(θ2)

• n1 + sin(θ1) = n2 + sin(θ2)

• n1 * tan(θ1) = n2 * tan(θ2)

• n1 / sin(θ1) = n2 / sin(θ2)

Derive Snell's Law using the principle of least time.

• n1 * tan(θ1) = n2 * tan(θ2)

• n1 + n2 = sin(θ1) + sin(θ2)

• n1 / n2 = sin(θ2) / sin(θ1)

• Snell's Law: n1 * sin(θ1) = n2 * sin(θ2)

Explain how Snell's Law applies to the design of lenses.

• Snell's Law is irrelevant to lens design and only applies to prisms.

• Lenses are designed solely based on the curvature of their surfaces, ignoring light refraction.

• Snell's Law is used to determine the color of light passing through a lens.

• Snell's Law is used in lens design to calculate how light bends at the interface of different materials, allowing for precise control of focus and optical properties.

What is total internal reflection and how is it related to Snell's Law?

• Total internal reflection is the complete reflection of a wave at the boundary of two media when the angle of incidence exceeds the critical angle, and it is related to Snell's Law as it defines the conditions under which this occurs.

• Total internal reflection can happen at any angle of incidence.

• Snell's Law applies only to light traveling in a vacuum.

• Total internal reflection occurs only in solids.

Describe a real-world application of Snell's Law in fiber optics.

• Snell's Law is used to increase the speed of light in fiber optics.

• Snell's Law is used in fiber optics to guide light through the fiber by ensuring total internal reflection at the core-cladding interface.

• Snell's Law is applied to enhance the color of light transmitted through fiber optics.

• Snell's Law helps in the manufacturing process of fiber optic cables.