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the physical and chemical properties of elements should be most similar within the same?

a. period
b. group
c. quantum level
d. oxidation state
I figured it would was b. group
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3 Answers

The answer is b. Elements in the same group have the same number of valence electrons and so interact with other elements in a similar way. They display similar physical and chemical properties. For example, the halogens (F, Cl, Br, I) all react similarly. 
This is a bit of a deceptive question -- the more you know, the more it will irritate you! The *chemical* properties can follow the group (stoichiometry of reactions, to some extent energetics as well).
But the physical properties -- the best you can say, is that the elements may vary MORE across a period than they do down a group. Consider N, P, As, Sb, and Bi -- these range from a gas vaporizing at 63 K to a metal melting at 544 K and vaporizing at 1837 K.  You wouldn't call these similar, EXCEPT by comparison with a period: say, Li to F, with C melting at 4100 K !
Correct. Elements within group have similar structure of electronic shells, therefore they have similar affinity to electrons (electro negativity) and, therefore, have similar chemical and physical properties.