Based on the reaction sequence shown,select the incorrect statement about $P_2$. The reaction starts with cyclohexanone reacting with $Mg-Hg/H_2O$ to form $P_1$,which then reacts with conc. $H_2SO_4$ and heat to form $P_2$.

  • A
    $P_2$ is a spiro compound
  • B
    $P_2$ is a cyclic ketone
  • C
    $P_2$ has $3$ degree of unsaturation
  • D
    $P_2$ is a bicyclo hydrocarbon

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Compound '$A$' (molecular formula $C_3H_8O$) is treated with acidified potassium dichromate to form a product '$B$' (molecular formula $C_3H_6O$). '$B$' forms a shining silver mirror on warming with ammoniacal silver nitrate. '$B$' when treated with an aqueous solution of $H_2NCONHNH_2 \cdot HCl$ and sodium acetate gives a product '$C$'. Identify the structure of '$C$.

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$O_3/Zn$ $(1)$
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