Problem 1:In this problem, use469nm for the wavelength of blue light and the index of refraction of oil to be 1.40.

Calculate the minimum thickness (in nanometers) of an oil slick on water that appears blue when illuminated by white light that is incident perpendicular to the oil's surface.

Problem 2:Suppose you have a lens system that is to be used primarily for685nm red light.

What is the second thinnest coating of magnesium fluorite, which has an index of refraction of n = 1.38, that would be non-reflective for this wavelength? Assume the index of refraction of the lens is bigger than 1.38, and enter your answer in nanometers.

Problem 3:The parameter= 1/(1-v²/c²)^1/2can be used to determine how large relativistic effects can be expected to be. When the speed is small compared to the speed of light,does not get much larger than 1. Asvgets close to the speed of light,gets very large. Randomized Variables p=0.035

At what speed, as a ratio to the speed of light, is = 1 + 0.035? This corresponds to a 0.035 100 percent relativistic effect.

Problem 4:This question will ask what speed, expressed as its ratio to the speed of light, corresponds to various values of the relativistic parameter.

Part (a)At what speed, relative to the speed of light, is = 1.9?

Part (b)At what speed, relative to the speed of light, is = 11?

Problem 5:Particles called -mesons are produced by accelerator beams.

Randomized Variables

s = 2.56 10⁸ m/s t = 2.8 10^-8 s

If these particles travel at 2.56 10⁸ m/s and live 2.8 10^-8 s when at rest relative to an observer, how long do they live as viewed in the laboratory?

Problem 6:A free neutron lives881s when at rest relative to an observer.

Randomized Variables

t₀ = 881 s t = 2175 s How fast is the neutron moving relative to an observer who measures its life span to be 2175 s? Give your answer in terms of c.