(8) a) Determine the total resistance value for a group of 500 resistors in series where all have the same value equal to 75. b) Determine the number of resistors in series where all have the same value equal to 100 and a total resistance of 15K. c) Determine the value of each resistor in a group of 250 equal resistors in series with a total resistance of 5000. d) Determine the total resistance value for a group of 100 resistors in parallel where all have the same value equal to 50K. e) Determine the number of resistors in parallel where all have the same value equal to 1000 and a total resistance of 25. f) Determine the value of each resistor in a group of 300 equal resistors in parallel with a total resistance of 60.

(1) a) What is the refractive index of a medium through which the speed of light is 1.6949*108 meters/sec? (b) What is the approximate value of the speed of light as it passes from vacuum to propagate through polycarbonate? What is the approximate value of the frequency of light in polycarbonate? the light in the polycarbonate if the light is 589 nanometers (589 nm) wavelength (n_{polycarbonate} = 1.585)?

(3) a) What is the critical angle for light propagation from sapphire to air? State and explain whether or not there is total internal reflection if the incident light beam is at an angle of 40. (n_zafiro = 1.77, n_aire = 1.0002926) b) What is the critical angle for a propagation of light from silicon to Teflon? State and explain whether or not there is total internal reflection if the incident light beam is at an angle of 10.(n_silicon =4.01, n_teflon = 1.36).

(5) (True or False) ____ 1. The image in a plane mirror is virtual. ____ 2. The image in a plane mirror is at a different distance than the object distance. ____ 3. The size of the image in a plane mirror is smaller than the size of the object. ____ 4. The image in a plane mirror undergoes a lateral inversion (what is on the right in the object appears on the left in the image and vice versa). ____ 5. If two plane mirrors are placed 10 apart, then 36 multiple images are displayed.

(6) a) How many images are formed if two plane mirrors are placed at an angle of 30? b) How many images are formed if two plane mirrors are positioned at an angle of 15? c) How many images are formed if two plane mirrors are placed at an angle of 45? d) How many images are formed if two plane mirrors are placed at an angle of 20? e) How many images are formed if two plane mirrors are placed at an angle of 60?