Optical isomerism and chirality

Given below are two statements.

Statement I: The compound (A) shown, a carbon bearing NO$_2$, H, a (Z)-prop-1-enyl group and an (E)-prop-1-enyl group, is optically active.

Statement II: The second compound shown is mirror image of above compound A.

In the light of the above statement, choose the most appropriate answer from the options given below.

The number of stereoisomers formed in a reaction of (±)Ph(C=O)C(OH)(CN)Ph with HCN is _______.

[where Ph is −C$_6$H$_5$]

Among the following, the conformation that corresponds to the most stable conformation of meso-butane-2,3-diol is

Given:

$\text{D-Glucose} \xrightarrow{\ce{HNO3}} \mathbf P$, $[\alpha]_D = +52.7^\circ$

The compound(s), which on reaction with $\ce{HNO3}$ will give the product having degree of rotation, $[\alpha]_D = -52.7^\circ$ is(are)

The maximum number of possible isomers (including stereoisomers) which may be formed on mono-bromination of 1-methylcyclohex-1-ene using $\ce{Br2}$ and UV light is ____.

The Fischer projection of D-erythrose is shown below.

D-Erythrose and its isomers are listed as P, Q, R, and S in Column-I. Choose the correct relationship of P, Q, R, and S with D-erythrose from Column II.

An organic compound ($\ce{C8H10O2}$) rotates plane-polarized light. It produces pink color with neutral $\ce{FeCl3}$ solution. What is the total number of all the possible isomers for this compound?

Consider the following transformations of a compound P.

Choose the correct option(s).

Total number of isomers, considering both structural and stereoisomers, of cyclic ethers with the molecular formula $\ce{C4H8O}$ is ______

In the following reaction sequence, the correct structure(s) of X is (are)

The Fischer presentation of D-glucose is given below.

The correct structure(s) of β-L-glucopyranose is (are)

For the given compound X, the total number of optically active stereoisomers is ____.

The correct statement(s) for the following addition reactions is(are)

(i) trans-2-butene $\xrightarrow{\ce{Br2/CHCl3}}$ M and N

(ii) cis-2-butene $\xrightarrow{\ce{Br2/CHCl3}}$ O and P

3-Methyl-pent-2-ene on reaction with HBr in presence of peroxide forms an addition product. The number of possible stereoisomers for the product is :

In the following monobromination reaction, the number of possible chiral products is

(Enantiomerically pure 2-bromopentane, 1.0 mole, shown as a Fischer projection) $\xrightarrow[300\ ^\circ\mathrm C]{\ce{Br2}\ (1.0\text{ mole})}$

The absolute configuration of the compound shown is :

The total number of stereoisomers that can exist for M is

Compound(s) that on hydrogenation produce(s) optically inactive compound(s) is(are)

The structure of D-(+)-glucose is shown (Fischer projection: CHO at top; OH on the right, left, right and right at C2, C3, C4 and C5; CH₂OH at the bottom).

The structure of L-(−)-glucose is

The optically inactive compound from the following is :