- - - - - O- - - 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 mm and the screen is 30.0 cm from the slits. (a) First you perform the double-slit experiment in air. You find that successive maxima are separated by a distance Ay = 0.150 cm! What is the wavelength of the light? Hint: use that for small angles sin 0 ~ tan 0. (3 marks) (b) You then submerge your experiment in the unknown liquid. You now find that successive maxima are separated by a distance Ay = 0.100 cm. What is the wavelength of the light in the unknown liquid? Hint: use that for small angles sin 0 ~ tan 0. (3 marks) (c) Now calculate the refractive index of the unknown liquid. (2 marks) 2. Singly charged sodium ions (Nat) 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 NA = 6.02 x 1023 mol-1. (a) What is the linear momentum acquired by an individual sodium ion (in kg . m/s)? 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) (b) What is its de Broglie wavelength? (4 marks)