Print UW Net ID $q,$

$(4$ pts$)$ The headlights on a car are separated by $1\mathrm{.}3$ m $.$ Assume the headlights emit light with a wavelength of $550$ nm and the angular resolution of a person observing the headlights is $5\mathrm{.}0{10}^{-4}$rad. For a person with excellent vision what is the furthest distance down the road the car can be located to resolve the headlights?

A$.5\mathrm{.}0$ km

B$.1\mathrm{.}3$ km

C$.2\mathrm{.}6$ km

D$.0\mathrm{.}65$ km

E$.4\mathrm{.}8$ km

$(3$ pts$)$ Red light with wavelength $650$ nm shines down on a piece of glass at a slight angle to horizontal that rests with the lefthand side on a flat piece of glass as shown at right. There is a small air gap between the pieces of glass. The image below shows the reflected light over the entire surface of the glass. What is the size of the air gap at the far right of the glass?

A$.163$ nm

B$.325$ nm

C$.488$ nm

D$.813$ nm

E$.1140$ nm

$(3$ pts $)$ What is the minimum area of the top surface of a slab of ice with a uniform thickness of $0\mathrm{.}30$ m floating on fresh water that will hold up an object of mass $1300$ kg at the center on the top surface? The density of water is $1\mathrm{.}0{10}^{3}k\frac{g}{m^3}$ and density of ice is $0\mathrm{.}92{10}^{3}k\frac{g}{m^3}.$

A$.0\mathrm{.}44m^2$

B$.4\mathrm{.}3m^2$

C$.4\mathrm{.}7m^2$

D$.5\mathrm{.}5m^2$

E$.54m^2$