A sheet of glass having an index of refraction of 1.45 is to be coated with a film of material having an index of refraction of 1.68 in order that green light with a wavelength of 547 nm (in air) will be preferentially transmitted via constructive interference. (a) What is the minimum thickness of the film that will achieve the result? (b) Are other parts of the visible spectrum also preferentially transmitted? (c) Will the transmission of any colors be sharply reduced?

The starship enterprise is caught in a time warp and spock is forced to use the primitive techniques of the 20th century to determine the specific heat capacity of an unknown mineral. the 125-g sample was heated to 96.3°c and placed into a calorimeter containing 85.9 g of water at 20.0°c. the heat capacity of the calorimeter was 14.2 j/k. the final temperature in the calorimeter was 24.5°c. what is the specific heat capacity (in j/g°c) of the mineral? enter to 4 decimal places.