(a) Explanation Given info: The Pickering series is produced when electrons jump from a higher level to the n = 4 level of He + . The spectral lines are produced by singly ionized helium The expression for spectral lines in the Pickering series is, 1 λ = C ( 1 16 − 1 n 2 ) (1) Here, n is 5 , 6 , 7... . C is constant. Expression to calculate energy of a photon emitted when an electron jumps from higher energy state to lower energy state is, Δ E = E i − E f (2) Here, E i is the energy of an electron in lower energy state. E f is the energy of an electron in higher energy state. Expression to calculate the energy in the state n is, E n = − 13.6 Z 2 n 2 (3) Here, Z is the atomic number. Substitute 1 for Z in hydrogen and n i for n in equation (3) to get E i . E i = − 13.6 ( 1 ) 2 n i 2 Thus, the energy of an electron in lower energy state is − 13.6 ( 1 ) 2 n i 2 . Substitute 1 for Z in hydrogen and n f for n in equation (3) to get E f . E f = − 13.6 ( 1 ) 2 n f 2 Thus, the energy of an electron in higher energy state is − 13.6 ( 1 ) 2 n f 2 . Substitute − 13.6 ( 1 ) 2 n f 2 for E f and − 13.6 ( 1 ) 2 n i 2 for E i in equation (2) to get Δ E for hydrogen atom. ( Δ E ) hydogen = ( − 13.6 ( 1 ) 2 n i 2 ) − ( − 13.6 ( 1 ) 2 n f 2 ) = 13.6 ( 1 n f 2 − 1 n i 2 ) eV Thus, energy of a photon emitted for hydrogen atom is 13.6 ( 1 n f 2 − 1 n i 2 ) eV . The expression to calculate the energy in the state n for singly ionized helium atom is equation (3) Substitute 2 as Z in singly ionized helium atom and n i for n in equation (3) to get E i . E i = − 13.6 ( 2 ) 2 n i 2 Substitute 2 as Z in singly ionized helium atom and n f for n in equation (3) to get E f . E f = − 13.6 ( 2 ) 2 n f 2 Substitute − 13.6 ( 1 ) 2 n f 2 for E f and − 13 (b) To determine The numerical value of C . (c) To determine To verify: Pickering lines for n = 6 correspond to Balmer lines in hydrogen.

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Question

Chapter 31, Problem 81GP

(a)

To determine

Whether constant C is greater than, less than or equal to the Rydberg constant R .

(b)

To determine

The numerical value of C .

(c)

To determine

To verify: Pickering lines for n=6 correspond to Balmer lines in hydrogen.

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Chapter 31, Problem 80GP

Chapter 31, Problem 82GP

Chapter 31 Solutions

Physics (5th Edition)

Ch. 31.1 - Prob. 1EYU Ch. 31.2 - Prob. 2EYU Ch. 31.3 - Prob. 3EYU Ch. 31.4 - Prob. 4EYU Ch. 31.5 - Prob. 5EYU Ch. 31.6 - Prob. 6EYU Ch. 31.7 - Prob. 7EYU Ch. 31 - Prob. 1CQ Ch. 31 - Prob. 2CQ Ch. 31 - Prob. 3CQ

Ch. 31 - Prob. 4CQ Ch. 31 - Prob. 5CQ Ch. 31 - Prob. 6CQ Ch. 31 - Prob. 7CQ Ch. 31 - Prob. 8CQ Ch. 31 - Prob. 9CQ Ch. 31 - Prob. 1PCE Ch. 31 - Prob. 2PCE Ch. 31 - Prob. 3PCE Ch. 31 - Prob. 4PCE Ch. 31 - Prob. 5PCE Ch. 31 - Prob. 6PCE Ch. 31 - Prob. 7PCE Ch. 31 - Prob. 8PCE Ch. 31 - Prob. 9PCE Ch. 31 - Prob. 10PCE Ch. 31 - Prob. 11PCE Ch. 31 - Prob. 12PCE Ch. 31 - Prob. 13PCE Ch. 31 - Prob. 14PCE Ch. 31 - Prob. 15PCE Ch. 31 - Prob. 16PCE Ch. 31 - Prob. 17PCE Ch. 31 - Prob. 18PCE Ch. 31 - Prob. 19PCE Ch. 31 - Prob. 20PCE Ch. 31 - Prob. 21PCE Ch. 31 - Prob. 22PCE Ch. 31 - Prob. 23PCE Ch. 31 - Prob. 24PCE Ch. 31 - Prob. 25PCE Ch. 31 - Prob. 26PCE Ch. 31 - Prob. 27PCE Ch. 31 - Prob. 28PCE Ch. 31 - Prob. 29PCE Ch. 31 - Prob. 30PCE Ch. 31 - Prob. 31PCE Ch. 31 - Prob. 32PCE Ch. 31 - Prob. 33PCE Ch. 31 - Prob. 34PCE Ch. 31 - Prob. 35PCE Ch. 31 - Prob. 36PCE Ch. 31 - Prob. 37PCE Ch. 31 - Prob. 38PCE Ch. 31 - Prob. 39PCE Ch. 31 - Prob. 40PCE Ch. 31 - Prob. 41PCE Ch. 31 - Prob. 42PCE Ch. 31 - Prob. 43PCE Ch. 31 - Prob. 44PCE Ch. 31 - Prob. 45PCE Ch. 31 - Prob. 46PCE Ch. 31 - Prob. 47PCE Ch. 31 - Prob. 48PCE Ch. 31 - Prob. 49PCE Ch. 31 - Prob. 50PCE Ch. 31 - Prob. 51PCE Ch. 31 - Prob. 52PCE Ch. 31 - Give the electronic configuration for the ground...Ch. 31 - Prob. 54PCE Ch. 31 - Prob. 55PCE Ch. 31 - Prob. 56PCE Ch. 31 - The configuration of the outer electrons in Ni is...Ch. 31 - Prob. 58PCE Ch. 31 - Prob. 59PCE Ch. 31 - Prob. 60PCE Ch. 31 - Prob. 61PCE Ch. 31 - Prob. 62PCE Ch. 31 - Prob. 63PCE Ch. 31 - Prob. 64PCE Ch. 31 - Prob. 65PCE Ch. 31 - Prob. 66PCE Ch. 31 - Prob. 67PCE Ch. 31 - Prob. 68GP Ch. 31 - Prob. 69GP Ch. 31 - Prob. 70GP Ch. 31 - Prob. 71GP Ch. 31 - Prob. 72GP Ch. 31 - Prob. 73GP Ch. 31 - Prob. 74GP Ch. 31 - Prob. 75GP Ch. 31 - Prob. 76GP Ch. 31 - Prob. 77GP Ch. 31 - Prob. 78GP Ch. 31 - Prob. 79GP Ch. 31 - Prob. 80GP Ch. 31 - Prob. 81GP Ch. 31 - Prob. 82GP Ch. 31 - Prob. 83GP Ch. 31 - Prob. 84PP Ch. 31 - Prob. 85PP Ch. 31 - Prob. 86PP Ch. 31 - Prob. 87PP Ch. 31 - Prob. 88PP Ch. 31 - Prob. 89PP

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