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- Estimate the probability of finding an electron which is excited into the 2s orbital of the H atom, looking in a cubical box of volume 0.751036m3 centered at the nucleus. Then estimate the probability of finding the electron if you move the volume searched to a distance of 105.8 pm from the nucleus in the positive z direction. (Note that since these volumes are small, it does not matter whether the volume searched is cubical or spherical.)In a FranckHertz experiment on sodium atoms, the first excitation threshold occurs at 2.103 eV. Calculate the wavelength of emitted light expected just above this threshold. (Note: Sodium vapor lamps used in street lighting emit spectral lines with wavelengths 5891.8 and 5889.9 Å.)A carbon dioxide laser produces radiation of wavelength 10.6 micrometers (1micrometer=106meter). laser produces about one joule of energy per pulse, how many photons are produced per pulse? (c) Which transitions involve the ground state? (d) Which transition absorbs the most energy? (e) Which transition emits the most energy?
- tab hift Which of the following sets of quantum numbers are not allowed? esc - caps lock On-2, 1-0, ml =0, ms=1/2 O n-3, 1-1, ml- 2, ms=1/2 O n-3, 1-2, ml= -2, ms=1/2 On-4, 1-2, ml--2, ms-1/2 On-1, 1-0, ml-0, ms -1/2 ! 1 A 2 N 1 control option W S #3 X E H command D $ 4 R C % 5 F M T V MacBook Pro A 6 G Y B & 7 H U * 8 N J - 9 K 3 MOSISGuide (3.2 x FAlpQLSeks80Atdja vp397-eK4_tMo826w/viewform?hr_submission=DCH ms How many different quantum numbers are used to describe the state of 2 points an electron? * Four quantum numbers one quantum number two quantum numbers For a principal quantum number,n, equal to 2, what is the largest allowed 2 points value of I? * 1 0. 2)6) Circle the set or sets of quantum numbers thatis uert. oriare erroneous. a)n=4 l=2 me--2 (6)h=2e=2 me=+1 ms=-1/2 C)n=s l=3 (d)n=1 l=1 me=-3
- The correct radial probability distribution curve for the hydrogen atomic orbital with principal quantum number, n = 3 and azimuthal quantum number, I = 1 is: (4Ttr2w2 = radial probability density function and r = (radial distance from the nucleus 1) 2) Aditya vard 3) 4) Aalichemistry 2 O 4 1The following quantum number combinations are not al-lowed. Assuming the nand mlvalues are correct, change the lvalue to create an allowable combination:(a) n=3; l=0; ml=-1 (b) n=3; l=3; m=+1 (c) n=7; l=2; m=3 (d) n=4; l=1; m=-2What are the possible magnetic quantum numbers (m?) associated with each indicated value of ?? When ℓ=3, mℓ= a) 0,1,2,3 b) −3,3 c) −3,−2,−1,1,2,3 d) −3,−2,−1,0,1,2,3 When ℓ=4ℓ, mℓ= a) −4,−3,−2,−1,0,1,2,3,4 b) −4,4 c) 0,1,2,3,4 d) −4,−3,−2,−1,1,2,3,4
- 11 1) The following probability density refers to a certain state of particle in a box. What is the probability of finding the particle in the left side of the box in the region Osas 4(nm) ? where a is the length of the box = 10 nm A) 0.2 140 hannd 120 B) 0.4 100 C) 0.5 D) 0.6 10 15 Position () 11_2) The uncertainty involved in the measurement of velocity of an electron within a distance of 0.1 A: mass of the electron = 9.11 x 101 kg A) 5.79 x 10° m s B) 5.79 x 10° m s C) 5.79 x 10' m s' D) 5.79 x 10° m s7. What values of the angular momentum (1) and magnetic (m,) quantum numbers are allowed for a principal quantum number (n) of 3? How many orbitals exist for n = 3? a) 1 = 1 and m₁ = -1; 1 = 1 and m₁ = -1, +1; 1 = 2 and m₁ = -2. -1, 0, +1, +2. Nine orbitals. b) 1 = 0 and m₁ = 0; 1 = 1 and m₁ = +1; 1 = 2 and m₁ = -2. -1, 0, +1, +2. Five orbitals. c) 1 = 0 and m₁ = 0; 1= 1 and m₁ = -1, 0, +1; 1 = 2 and m₁ = -2. -1, 0, +1, +2. Nine orbitals. d) 1 = 0 and m₁ = 0; 1 = 1 and m₁ = -1, 0, +1; 1= 2 and m₁ = -1, 0, +1. Four orbitals.iii. Consider the following transitions: I. п %3D 3 to n %3D1 (a) For which of the transitions is energy absorbed? II. n = 2 to n = 3 (b) For which of the transitions is energy emitted? III. n = 4 to n= 3 (c) Which transitions involve the ground state? IV. n = 3 to n= 5 (d) Which transition absorbs the most energy? (e) Which transition emits the most energy?