12.4 Preliminary Assignment 1) Linearize Equation (12.7) using the order number (m) as the dependent variable and using the position of the maxima (y) as the independent variable. Identify the slope and indicate how the slit separation may be determined once the slope is known. 2) Repeat the linearization exercise for Equation (12.8). 3) A group of students set up a Young's interference experiment with a pair of slits of unknown separation. The distance from the screen to the slits is (99.1+1.0) cm . The wavelength of the laser is A =650*10 *m. The position of the maxima for various order numbers that they measure is given in the table below. Plot the order number vs the position of the maxima and determine the separation of the slits (with uncertainty) from the slope of the line. Compare your result with the accepted value of 0.25mm Order Number Position (m) -5 0.0355 -4 0.0381 -3 0.0405 - 2 0.0434 -1 0.0458 0 0.0487 0.0511 0.0537 VI AWN - 0.0561 0.0587 0.0611 gives us the condition for constructive interference: dy = ma where m = 0, +1, +2, 43, ... (12.7) And the condition for destructive interference is: L dy = nd where n = # 12.+3/2.+3/2... (12.8)