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Chapter 40: Q2Q (page 1246)

An electron in an atom of gold is in a state with n = 4. Which of these values of are possible for it:-3, 0, 2, 3, 4, 5?

Short Answer

Expert verified

The possible values of l with are 0, 2 and 3.

Step by step solution

01

The given data

The given quantum state of the electron, n = 4

02

Understanding the concept of the electronic configuration

The number of possible l states of an atomic orbital for a given quantum number n range from 0 to n-1 positive integer values. Here, l represents the azimuthally quantum state of an electronic configuration.

03

Calculation of all possible values of l

Using the concept, we can say that the number of possible states of l for n = 4 is from 0 to (n - 1) integer values. They are 0, 1, 2, and 3.

Hence, the possible values according to the question are 0, 2, and 3.

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Most popular questions from this chapter

An electron in a multi-electron atom has ml=+4 For this electron, what are (a) the value of I, (b) the smallest possible value of n, and (c) the number of possible values of ms?

Assume that in the Stern–Gerlach experiment as described for neutral silver atoms, the magnetic field B→has a magnitude of 0.50 T. (a) What is the energy difference between the magnetic moment orientations of the silver atoms in the two sub-beams? (b) What is the frequency of the radiation that would induce a transition between these two states? (c) What is the wavelength of this radiation, and (d) to what part of the electromagnetic spectrum does it belong?

Determine the constant C in Eq. 40-27 to five significant figures by finding in terms of the fundamental constants in Eq. 40-24 and then using data from Appendix B to evaluate those constants. Using this value of in Eq. 40-27, determine the theoretical energy Etheoryof the Kαphoton for the low-mass elements listed in the following table. The table includes the value (eV) of the measured energy Eexpof the Kαphoton for each listed element. The percentage deviation between Etheoryand Eexpcan be calculated as:

percentagedeviation=Etheory-EexpEexp×100

What is the percentage deviation for (a) Li, (b) Be, (c) B, (d) C, (e) N, (f) O, (g) F, (h) Ne, (i) Na, and (j) Mg?

(There is actually more than one Kαray because of the splitting of the energy level, but that effect is negligible for the elements listed here.)

Consider the elements krypton and Rubidium.

(a) Which is more suitable for use in a Stern–Gerlach experiment of the kind described in connection with Fig. 40-8?

(b) Which, if either, would not work at all?

Lasers can be used to generate pulses of light whose durations are as short as 10fs. (a) How many wavelengths of lightλ=500nm are contained in such a pulse? (b) In10fs1s=1sX what is the missing quantity X (in years)?
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