
- AI<II<III<IV
- BII<III<IV<I
- CI<III<II<IV
- DI<IV<II<III

Explanation:
Phenol (I) is stable aromatic compound. So it is most stable. The diene (IV) undergoes quick dehydration because it will form stable phenol. The alkene (III) undergoes dehydration. less readily because it gives a more stable diene. Alcohol (II) undergoes much lesser dehydration to form alkene. So, order is: 4>3>2>1.
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$(A)$ $BF _{3}$
$(B)$ $SiCl _{4}$
$(C)$ $PCl _{5}$
$(D)$ $SF _{6}$
${\left[ {Fe{{\left( {CN} \right)}_6}} \right]^{ - 4}}\,\xrightarrow{{MnO_4^ - /{H^ + }}}F{e^{ + 3}} + C{O_2} + NO_3^ - $
$CH_2(CO_2 Et)_2 $ $\xrightarrow[Et-I]{EtO^{\circleddash}} \,\,\xrightarrow[Et-I]{EtO^{\circleddash}}
\,\,\overset{Urea}{\rightarrow} $ $(P)$