Question

W8. (a) Calculate the angular separations of the two Sodium lines given in Reference Table 19.1, using individual wavelengths and Eq. (19.1) for the first-order spectrum; i.e. in the first-order case (m-1 in Eq. 19.1), you calculate θ' (in degrees) for λ, of Sodium (589.0 nm) and then for λ compute q, (589.6 nm, m-1). The angular separation is (expressed in degrees). (b) Repeat the calculations for the second-order case (m 2 in Eq. 19.1), where the angular separation is 6-6-which order has greater separation, g-A or θ2_A? Is this consistent with your observations, i.e. were you able to see the two yellow lines in the "same" sequence i either of the two orders? If not, why not? (c) Explain why one of the orders that you calculated should have a wider angular separation than what you observed. (d) State the color produced by the Sodium source. Why did the higher orders have the same color as the zeroth-order? Explain your reasoning a= 1.667(105 Data Table 19.3: Yellow Emission Lines of Sodium The Central Angle (the angular position of the direct beam, i.e. the zeroth-order image), ,- Show all of your calculations on separate sheets. Students should do these computations individually tsrd Order Left Angle Right Angle m Finst Order , 24. 20.95 Second-Order30.6 220.4 2 47.3 44.9

Answer 1

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