Define Newlands' law of Octaves.

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(N/A) Newlands' law of Octaves states that when elements are arranged in the order of increasing atomic masses,the properties of every eighth element are a repetition of the properties of the first element. This pattern is analogous to the musical notes in an octave (sa,re,ga,ma,pa,dha,ni,sa),where the eighth note is the same as the first.

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Elements have been arranged in the following sequence on the basis of their increasing atomic masses.
$F, Na, Mg, Al, Si, P, S, Cl, Ar, K$
$(a)$ Pick two sets of elements which have similar properties.
$(b)$ The given sequence represents which law of classification of elements?

The elements $Be$,$Mg$,and $Ca$,each having two electrons in their outermost shells,are in periods $2$,$3$,and $4$ respectively of the modern periodic table. Answer the following questions,giving justification in each case:
$(i)$ Write the group to which these elements belong.
$(ii)$ Name the least reactive element.
$(iii)$ Name the element having the largest atomic radius.

$(a)$ What is the basis of arranging the elements in the Modern Periodic Table?
$(b)$ How does this remove the problem of positioning of isotopes?

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Write true or false for the statement: It was assumed by Newlands that only $63$ elements existed in nature and no more elements would be discovered in the future.

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