Lactic acid on heating with conc. $H_2SO_4$ gives

The major product $(P)$ formed in the below reaction is:
$CH_2$ attached to a cyclohexane ring $\xrightarrow[(ii) NaBH_4, OH^-]{(i) Hg(OAc)_2, H_2O-THF} P?$

Statement-$I$ :- Ozonolysis reaction is used to locate the position of a double bond in an alkene.
Statement-$II$ :- When $but-1-ene$ and $but-2-ene$ are subjected to ozonolysis separately,both yield the same product.
In the light of the above statements,select the correct option.

What are $X$ and $Y$ in the following reaction? $Hex-2-ene$ $\xrightarrow{O_3} \text{Ozonide}$ $\xrightarrow{Zn + H_2O} X + Y$

In the acid-catalyzed hydration of alkenes,other than ethene,which of the following is formed?

Addition of $HBr$ to propene yields $2-$bromopropane,while in the presence of benzoyl peroxide,the same reaction yields $1-$bromopropane. Explain and give the mechanism.