Learning goal: to learn the restrictions on each quantum number. quantum numbers can be thought of as labels for an electron. every electron in an atom has a unique set of four quantum numbers. the principal quantum number n corresponds to the shell in which the electron is located. thus n can therefore be any integer. for example, an electron in the 2p subshell has a principal quantum number of n=2 because 2p is in the second shell. the azimuthal or angular momentum quantum number ℓ corresponds to the subshell in which the electron is located. s subshells are coded as 0, p subshells as 1, d as 2, and f as 3. for example, an electron in the 2p subshell has ℓ=1. as a rule, ℓ can have integer values ranging from 0 to n−1. the magnetic quantum number mℓ corresponds to the orbital in which the electron is located. instead of 2px, 2py, and 2pz, the three 2p orbitals can be labeled −1, 0, and 1, but not necessarily respectively. as a rule, mℓ can have integer values ranging from −ℓ to +ℓ. the spin quantum number ms corresponds to the spin of the electron in the orbital. a value of 1/2 means an "up" spin, whereas −1/2 means a "down" spin.

What is the circumference of a circle with an area of 50.24 cm²?

Hannah reads at a constant rate of 33 pages every 88 minutes. write an equation that shows the relationship between pp, the number of pages she reads, and mm, the number of minutes she spends reading.

In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. consider the data set 14, 6, 8, 15, 15. (a) use the defining formula, the computation formula, or a calculator to compute s. (round your answer to one decimal place.) s = 4.28 (b) multiply each data value by 3 to obtain the new data set 42, 18, 24, 45, 45. compute s. (round your answer to one decimal place.) s = 12.83 (c) compare the results of parts (a) and (b). in general, how does the standard deviation change if each data value is multiplied by a constant c? multiplying each data value by the same constant c results in the standard deviation remaining the same. multiplying each data value by the same constant c results in the standard deviation being |c| times as large. multiplying each data value by the same constant c results in the standard deviation increasing by c units. multiplying each data value by the same constant c results in the standard deviation being |c| times smaller. (d) you recorded the weekly distances you bicycled in miles and computed the standard deviation to be s = 3.8 miles. your friend wants to know the standard deviation in kilometers. do you need to redo all the calculations? yes no given 1 mile ≠1.6 kilometers, what is the standard deviation in kilometers? (enter your answer to two decimal places.)