Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Question
Chapter 36, Problem 25P
(a)
To determine
The photon energy and wavelength for the series limit in Paschen series.
(b)
To determine
The three longest wavelengths is Paschen series.
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a) Consider that the first line of the Balmer series of the 1H spectrum is due to the transitions between the states described by the 3p and 2s orbitals. This line suffers unfolding when the system is subject to an intense magnetic fieldexternal. Calculate the wave numbers (in cm-1 ) of the lines observed when a10,0000T magnetic field is applied. (hint: pay attention to the numberssignificant and approximations made in the calculation steps)
B)
A Hydrogen atom initially in its third level, emitted a photon and ends down in
its ground state. What must have been the frequency of the photon? Now the
electron makes spontaneous absorb and comes back to the third level. What
are the possible frequencies of the photons absorbed during this process?
A triply ionised beryllium atom (Be+++, Z = 4) has only one electron in orbit about the nucleus. If the electron decays from the n = 3 level to the first excited state (n = 2), calculate the wavelength of the photon emitted. give your answer in units of nm, rounded to one decimal place.
Chapter 36 Solutions
Physics for Scientists and Engineers
Ch. 36 - Prob. 1PCh. 36 - Prob. 2PCh. 36 - Prob. 3PCh. 36 - Prob. 4PCh. 36 - Prob. 5PCh. 36 - Prob. 6PCh. 36 - Prob. 7PCh. 36 - Prob. 8PCh. 36 - Prob. 9PCh. 36 - Prob. 10P
Ch. 36 - Prob. 11PCh. 36 - Prob. 12PCh. 36 - Prob. 13PCh. 36 - Prob. 14PCh. 36 - Prob. 15PCh. 36 - Prob. 16PCh. 36 - Prob. 17PCh. 36 - Prob. 18PCh. 36 - Prob. 19PCh. 36 - Prob. 20PCh. 36 - Prob. 21PCh. 36 - Prob. 22PCh. 36 - Prob. 23PCh. 36 - Prob. 24PCh. 36 - Prob. 25PCh. 36 - Prob. 26PCh. 36 - Prob. 27PCh. 36 - Prob. 28PCh. 36 - Prob. 29PCh. 36 - Prob. 30PCh. 36 - Prob. 31PCh. 36 - Prob. 32PCh. 36 - Prob. 33PCh. 36 - Prob. 34PCh. 36 - Prob. 35PCh. 36 - Prob. 36PCh. 36 - Prob. 37PCh. 36 - Prob. 38PCh. 36 - Prob. 39PCh. 36 - Prob. 40PCh. 36 - Prob. 41PCh. 36 - Prob. 42PCh. 36 - Prob. 43PCh. 36 - Prob. 44PCh. 36 - Prob. 45PCh. 36 - Prob. 46PCh. 36 - Prob. 47PCh. 36 - Prob. 48PCh. 36 - Prob. 49PCh. 36 - Prob. 50PCh. 36 - Prob. 51PCh. 36 - Prob. 52PCh. 36 - Prob. 53PCh. 36 - Prob. 54PCh. 36 - Prob. 55PCh. 36 - Prob. 56PCh. 36 - Prob. 57PCh. 36 - Prob. 58PCh. 36 - Prob. 59PCh. 36 - Prob. 60PCh. 36 - Prob. 61PCh. 36 - Prob. 62PCh. 36 - Prob. 63PCh. 36 - Prob. 64PCh. 36 - Prob. 65PCh. 36 - Prob. 66PCh. 36 - Prob. 67PCh. 36 - Prob. 68PCh. 36 - Prob. 69PCh. 36 - Prob. 70PCh. 36 - Prob. 71PCh. 36 - Prob. 72PCh. 36 - Prob. 73PCh. 36 - Prob. 74PCh. 36 - Prob. 75P
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- While studying the spectrumn of a gas doud in space, an astronomer magnifies a spectral line that results from a transition from a p state to an s state, She finds that the line at 575.050 nm has actually split into three lines, with adjacent lines 4.70 x 10- nm apart, indicating that the gas is in an external magnetic field. (Ignore effects due to electron spin.) What is the strength of the external magnetic field? O B=3.25 T OB-2.98 T O B=2.79 T O B=3.05 T OB=2.05 Tarrow_forwardThe Ka x-ray line for any element arises because of atransition between the K shell (n = 1) and the L shell (n = 2).this line (for a molybdenum target)occurring at a single wavelength. With higher resolution, however,the line splits into several wavelength components becausethe L shell does not have a unique energy. (a) How many componentsdoes the Ka line have? (b) Similarly, how many componentsdoes the Kb line have?arrow_forwardA triply ionised beryllium atom (Be+++, Z = 4) has only one electron in orbit about the nucleus. If the electron decays from the n 7 level to the first excited state (n = 2), calculate the wavelength of the photon emitted. Please give your answer in units of nm, rounded to one decimal place. Answer:arrow_forward
- 5 6 À (x10-² nm) 7 8 9 10 Relative intensity Mo 9 9 12 vith → To 15.2 → To 37.2arrow_forwardA) What is the least amount of energy, in electron volts, that must be given to a hydrogen atom which is initially in its ground level so that it can emit the HαHα line in the Balmer series? Express your answer in electronvolts to three significant figures. B) How many different possibilities of spectral-line emissions are there for this atom when the electron starts in the n = 3 level and eventually ends up in the ground level?arrow_forwardA Hydrogen atom initially in its ground state i.e., n = 1 level, absorbs a photon and ends up in n = 4 level. (a) What must have been the frequency of the photon? Now the electron makes spontaneous emission and comes back to the ground state. (b) What are the possible frequencies of the photons emitted during this process?arrow_forward
- Find the most portable value of r characterizing the distance between an electron in 2px and the nucleus in the He+ion. Discuss the physical meaning of the results.arrow_forwardShow that a variation theory treatment of H using trial function = e^-kr as an unnormalized trial function yields the correct minimum-energy solution for the hydrogen atom when the specific expression for k is determined.arrow_forwardThe ground-state wave function of a hydrogen atom is: 1 where r is distance from the nucleus and a, is the Bohr radius (53 pm). Following the Born approximation, calculate the probability, i.e., |w?dz, that the electron will be found somewhere within a small sphere of radius, ro, 1.2 pm centred on the nucleus.arrow_forward
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