Question

PRE-LAB SPECTROSCOPY 1. Use the known values for the constants m, e, E, C, and h to calculate the value of the Rydberg constant. Show the details of your work, including how you arrive at the units of R. Hint: Don't include powers of ten in your calculator; instead calculate the power of ten in your value for R, apart from its numerical value. 2. A diffraction grating has a grating constant d = 1.500 um. If the first order image of the source of light occurs at 21.7°, find the wavelength, in nm, of the light incident on the grating.

Answer 1

We know that the equation for Rydberg Constant - mer 8 Corcha R = where m= morss of an electron e = charge of an eletron, to = permitivity in free spall, ca speed of light in valuum , na planet's constant ma 9.1 x 10 xg, e = 16x1018C, to = 8.854x10 t/m 6 = 3x108 aufs n= 6.625 8 10 34 J.S. 9.1x10-31 2.6x10-1994 = = &* (8554X10-12)* 3x 108 x (5.625 x 10-24) 3 31 Here, -31 9.1 x 10 x . R = 0.000109011 X 10" = 1.09 x 107 ml find unit of R. How to R = men & torch um x mx Nim3s my [m=kg, eac, to Camis h = 5.5 = Nim xg xux Nm" xs 01 (4 xm x W3 m² s 3 kg ir NX : Naxgon KG x9.mos

For may, te 1-09x 10% C+ b) = 0.2044 X107. 2 = 4.8924 x 10-7 m = 489.24 x 10 9 m s is daa 489.24 nm. for, n=5 = 109X10% (4-5) = 0.2289 x 10? is. Az = 4.3 687 x 107 in = 436.87 x 10 m 3 = 436.87 nm. for nab, 1 = 1.09 x 107 (4 - 1336) = 0.24222 x 107 u is du = 4.1284x10 m = 412-84 x 10 m s au = 412.84 nm :. The four wavelength for Balmes series are. a = 660.59 num, A3 = 436.87 nm, n2 = 489.24 nm, au = 412.84nm.