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For the changes,
\[
\begin{array}{ll}
M(g) \longrightarrow M^{+}(g)+e ; & \Delta H=100 \mathrm{eV} \\
M(g) \longrightarrow M^{2+}(g)+2 e ; & \Delta H=250 \mathrm{eV}
\end{array}
\]
which statement(s) is/are correct?
(A) \( \mathrm{IE}_{1} \) for \( M(\mathrm{~g}) \) is \( 100 \mathrm{eV} \)
(B) \( \mathrm{IE}_{1} \) for \( M^{+}(g) \) is \( 150 \mathrm{eV} \)
(C) \( \mathrm{IE}_{2} \) for \( M(\mathrm{~g}) \) is \( 250 \mathrm{eV} \)
(D) \( \mathrm{IE}_{2} \) for \( M(\mathrm{~g}) \) is \( 150 \mathrm{eV} \)
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