Question 1 2.5 pts A puddle of water has a thin film of gasoline floating on it as shown in the figure. A beam of light with a certain wavelength is shining perpendicular on the film. The indices of refraction are Nair=1.00, Ngasoline=1.40 and nyater=1.33. If there is a bright reflection, which will be the right equation and index of refraction that can be used for problems relating to the thickness of the film? air gasoline water O 2t =m2, withn = 1.40 O 2t = (m+ ) 2, withn =140 O 2t =m2, withn =133 O 2t=(m+ %) 2, withn=1.33 Question 6 2.5 pts How many values of the magnetic quantum number, m, (or simply m), correspond to a value of =42 O 3 05 O 7 O 8 09 Question 9 10 pts A double-slit experiment uses coherent light of wavelength 633 nm with a slit separation of 0.100 mm and a screen placed 2.0 m away. 1. What is the distance on the screen between first-order and second-order bright fringes? 2. What is the angular separation (in radians) between the central maximum and the first- order maximum? Edit View Insert Format Tools Table 12pt v Paragraph v B /7 U A+ v T%2v Question 10 10 pts A single slit, which is 0.0500 mm wide, is illuminated by light of 550 nm wavelength. 1. What is the angular separation between the first two minima on either side of the central maximum? 2. What is the width of the central maximum if the screen is 1.50 m is away from the slit? Edit View Insert Format Tools Table 12pt ~ Paragraph v B / U A v v T1T%v Question 11 10 pts A spaceship, with a proper length of 81 m, travels from Earth to a star that is 4.5 light-years away. The spaceship travels at the speed of 0.50c relative to Bob who is an observer on Earth while Ann is a passenger in the ship. 1. How long does the trip take, in years, according to Ann? 2. How long does the trip take, in years, according to Bob? 3. What is the length of the ship according to Ann? 4, What is the length of the ship according to Bob? Edit View Insert Format Tools Table 12pt ~ Paragraph v B /7 U A+v v T12v Question 12 10 pts A space barge pushes on a spaceship with a rest mass of 15,000 kg and accelerates it from a speed of 0.600c to a speed of 0.700c. How much work in Joules does the barge have to do to accomplish this? Use the relativistic kinetic energy. Edit View Insert Format Tools Table 12pt ~ Paragraph B /7 U A +v v T2+ Underline Question 13 10 pts A photoelectric surface has a work function of 2.10 eV. Electrons are being ejected from this surface by electromagnetic radiation of wavelength 356 nm. 1. Calculate the maximum kinetic energy of an electron. 2. What is the threshold wavelength for this surface? Edit View Insert Format Tools Table 12pt ~ Paragraph v B 7 U A+ v T2+ Question 14 10 pts A proton is confined within an atomic nucleus of diameter 4 fm (1 fm = 107> m). What is the uncertainty in speed for this proton in the nucleus? Edit View Insert Format Tools Table 12pt ~ Paragraph v B 7 U A +v 2 v T2v Question 15 10 pts What is the wavelength of the photon emitted when an electron in a hydrogen atom which is in the initial state n = 4 jumps to the final state n = 2? (c = 3.00 x 108 m/s, h = 6.626 x 10 34).5,1eV=160x10717)) Edit View Insert Format Tools Table 12pt ~ Paragraph B / U A v v T2v Question 16 10 pts The neutral %gA] atom has a mass of 26.981539 u; a neutral hydrogen atom has a mass of 1.007825 u; a neutron has a mass of 1.008665 u; and a proton has a mass of 1.007277 u. What is the binding energy per nucleon for Z{g Al? (1 u=931.5 MeV/c?) Edit View Insert Format Tools Table 12pt ~ Paragraph v B /7 U A v v T2v