3:04 .ul 4? [1' Done Test_section_2 Q PHYS 1008 2022W Last Name (please print) Test #5 Section L2 Thurs P.M. First Name (please print) Duration: 45 min Student # (please print) TA Name (please print) (3) 1. You have a large amount of an unknown Liquid and you want to deter- mine its index of refraction. You also have a light source of an unknown wavelength and a double-slit experiment. The pair of slits are separated by a distance d = 0.120 nun and the screen is 30.0 cm from the slits. (a) First you perform the double-slit experiment in air. You nd that successive maxima are separated by a distance A3; = 0.150 cm. What is the wavelength of the light? Hint: use that for small angles sin z tauB. (3 mrks) (b) You then submerge your experiment in the unknown liquid. You now nd that successive maxima are separated by a distance A3; = 0.100 cm. What is the wavelength of the light in the unknown liquid? Hint: use that for small angles Sing 1\": tan I9. (3 marks) (c) Now calculate the refractive index of the unknown liquid. {2 marks) (8) 2. Singly charged sodium ions (Na+) are accelerated from rest through a potential difference AV = 250 V. Sodium has a molar mass M = 22.99 g/mol and Avogadro's number is N A = 6.02 x 102" mol". (a) What is the linear momentum acquired by an individual sodium ion (in kg - 111/5)? Hint: if you are unsure how to calculate the mass of a sodium ion try looking at the units of M and NA. (4 marks) (1)) What is its de Broglie wavelength? (4 marks)