Some Basic Principles of Organic Chemistry

Shown below is the structure of methyl acetate with three different $\alpha$, $\beta$ and $\gamma$ carbon - oxygen bonds: $\mathrm{H_3C{-}C({=}O)_{\alpha}{-}_{\beta}O{-}_{\gamma}CH_3}$, where $\alpha$ is the C=O bond, $\beta$ the bond between the carbonyl carbon and the ester oxygen, and $\gamma$ the bond between that oxygen and the methyl carbon. The correct order of bond lengths of these bonds is :

Given below are two statements : Statement I : In $\mathrm{O_2N-C_6H_4-\overset{\oplus}{C}H-C_6H_4-OCH_3}$ (both groups para), the carbocation is stabilised by +R effect of $-\mathrm{OCH_3}$ group. Statement II : In $\mathrm{O_2N-C_6H_4-\overset{\ominus}{C}H-C_6H_4-OCH_3}$ (both groups para), the carbanion is stabilised by $-$R effect of $-\mathrm{NO_2}$ group. In the light of the above statements, choose the correct answer from the options given below :

Increasing order of electron withdrawing power of following functional groups is: a. $-\mathrm{CN}$ b. $-\mathrm{COOH}$ c. $-\mathrm{NO_2}$ d. $-\mathrm{I}$

Match the LIST-I with LIST-II. LIST-I (Reaction): A. Williamson Synthesis; B. Friedel Craft Reaction; C. Bromination of vinyl benzene; D. Chlorination of toluene in light. LIST-II (Mechanism): I. Electrophilic addition; II. Free radical substitution; III. Nucleophilic substitution; IV. Electrophilic substitution. Choose the correct answer from the options given below:

Given below are two statements: Statement I: On the basis of inductive effect, the order of stability of alkyl carbanions is $\mathrm{CH_3^- > CH_3{-}CH_2^- > (CH_3)_2CH^- > (CH_3)_3C^-}$. Statement II: Allyl and benzyl carbanions are more stabilised by inductive effect and not by resonance effect. In the light of the above statements, choose the correct answer from the options given below

Identify the correct IUPAC name of hydrocarbon ($x$) containing three primary carbon atoms and with molar mass 72 g mol$^{-1}$.

Given below are two statements: Statement I: 2,6-diethylcyclohexanone and 6-methyl-2-n-propylcyclohexanone are metamers. Statement II: 2,2,6,6-tetramethylcyclohexanone exhibits keto-enol tautomerism. In the light of the above statements, choose the correct answer from the options given below

The incorrect statements regarding geometrical isomerism are: (A) Propene shows geometrical isomerism. (B) Trans isomer has identical atoms/groups on the opposite sides of the double bond. (C) Cis-but-2-ene has higher dipole moment than trans-but-2-ene. (D) 2-methylbut-2-ene shows two geometrical isomers. (E) Trans-isomer has lower melting point than cis isomer. Choose the correct answer from the options given below:

How many different stereoisomers are possible for the given molecule? $\mathrm{CH_3-CH(OH)-CH=CH-CH_3}$