A light ray propagates in Material 1 with index of refraction n 1 = 1.25 n1=1.25 , strikes an interface, then passes into Material 2 with index of refraction n 2 = 1.33 n2=1.33. The angle of incidence at the interface is θ 1 = 40.3 θ1=40.3°. Find the angle of refraction θ 2 θ2 .

An ice-making machine inside a refrigerator operates in a carnot cycle. it takes heat from liquid water at 0.0 degrees celsius and rejects heat to a room at a temperature of 19.2 degrees celsius. suppose that liquid water with a mass of 76.3kg at 0.0 degrees celsius is converted to ice at the same temperature. take the heat of fusion for water to be l_f = 3.34*10^5 j/kg. how much energy e must be supplied to the device? express your answer in joules.