For the following compounds,write structural formulas and $IUPAC$ names for all possible isomers having the number of double or triple bonds as indicated:
$(a)$ $C_4H_8$ (one double bond)
$(b)$ $C_5H_8$ (one triple bond)

Match the four starting materials $(P, Q, R, S)$ given in List-$I$ with the corresponding reaction schemes $(I, II, III, IV)$ provided in List-$II$ and select the correct answer using the code given below the lists. Codes: $P \quad Q \quad R \quad S$

Give distinguishing tests for the following:
$(a)$ Ethane and ethyne (Alkane and Alkyne $RC \equiv CH$)
$(b)$ Ethene and Ethyne (Alkene and Alkyne $RC \equiv CH$)
$(c)$ Dimethyl ethyne and ethyne
$(d)$ Ethane and Ethene (Alkane and alkene)

Answer the following questions:
$(i)$ Give hybridization of Carbon atoms in the following compound: $CH_3-CH=CH-CH_2-C\equiv CH$
$(ii)$ Give the number of $\sigma$ and $\pi$ bonds in the above compound.
$(iii)$ Give the $IUPAC$ name of the above compound.
$(iv)$ Draw the geometrical isomers of the above compound.
$(v)$ Why are $cis$ and $trans$ isomers not possible in alkynes?
$(vi)$ Which bond possesses more bond length between $C=C$ and $C\equiv C$?

The reaction is given by:
($1$-hydroxycyclopentane$-1,1-$dicarboxylic acid) $\xrightarrow[\Delta ]{K_2Cr_2O_7}\,(P)$
Product $(P)$ will be:

Which of the following hydrocarbons reacts easily with $MeMgBr$ to give methane?