Question

1)Determine the wavelength of light emitted or absorbed by a hydrogen atom when an electron transitions from n = 9 to n = 5. Give your answer in units of nm.

2)An electron in a hydrogen atom absorbs 51.09 x 10 ^-20 J of energy. If the electron originated at energy level 2, to what level was it excited?

Answer 1

Solution 2-hxCAF where, 7= wavelength ha planks Constant ca Velocity of light AE = encagy DE = -l 'oening where, R- Redberg constant, n, - enedgy levels = ng AE = (-3.199X1018 ; ) [2 6 ] = -2.199x102's ( šias] - - 9.171 X 10 $ 0 - 0 = -2.199x10-18 (-0-027654321 ) se : 6.0958 X10-80 a Therefore, hxc/DE = (6.5173x10 34) (3x108). 6.0958 16-20

-25 1.955 20000 x 10 6:0258x10.30 = 0.00000032446 + 2 = 3.2446 x 10 m 2, DE -- Rome 51.09x16 205 = (-2.199x1018) : - (-2.199x16's) ( high (4 ohmn] - 5109210-20 ) 18 -2.179 X10 -> [ť nez y = -0-2344653511. 5 hz = -0.234465351) — 6.25 >> tuba -40.4844653511 => n = 2.064131104 3 ng = 1.43670 12 = 1]