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(D) The Modern Periodic Law states that the properties of elements are a periodic function of their atomic number.Statement $(i)$ is incorrect because

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$(i), (ii)$ and $(iii)$

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(D) The Modern Periodic Law states that the properties of elements are a periodic function of their atomic number.Statement $(i)$ is incorrect because elements are arranged in increasing,not decreasing,order of atomic number.Statement $(ii)$ is incorrect because the Modern Periodic Table is based on atomic number,not atomic mass (which was the basis for Mendeleev's Periodic Table).Statement $(iii)$ is incorrect because isotopes have the same atomic number and are placed in the same group,not in adjoining groups.Statement $(iv)$ is correct as it accurately describes the arrangement of elements in the Modern Periodic Table.Therefore,statements $(i), (ii),$ and $(iii)$ are incorrect.

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