JEE (Advanced) 2014 Paper-1

Consider all possible isomeric ketones, including stereoisomers, of MW = 100. All these isomers are independently reacted with $$NaBH_4$$ (NOTE: stereoisomers are also reacted separately). The total number of ketones that give a racemic product(s) is/are

A list of species having the formula $$XZ_4$$ is given below.
$$XeF_4 , SF_4 , SiF_4 , BF_4^- , BrF_4^- , [Cu(NH_3)_4]^{2+}, [FeCl_4]^{2-}, [CoCl_4]^{2-}$$ and $$[PtCl_4]^{2-}$$.
Defining shape on the basis of the location of X and Z atoms, the total number of species having a square planar shape is

Among PbS, CuS, HgS, MnS, $$Ag_2S$$, NiS, CoS, $$Bi_2S_3$$ and $$SnS_2$$, the total number of BLACK coloured sulfides is

The total number(s) of stable conformers with non-zero dipole moment for the following compound is (are)

Consider the following list of reagents:
Acidified $$K_2Cr_2O_7$$, alkaline $$KMnO_4, CuSO_4, H_2O_2, Cl_2, O_3, FeCl_3, HNO_3$$ and $$Na_2S_2O_3$$.
The total number of reagents that can oxidise aqueous iodide to iodine is

The total number of distinct naturally occurring amino acids obtained by complete acidic hydrolysis of the peptide shown below is

In an atom, the total number of electrons having quantum numbers $$n = 4, \mid m_l \mid = 1$$ and $$m_s = -\frac{1}{2}$$ is

If the value of Avogadro number is $$6.023 \times 10^{23} mol^{-1}$$ and the value of Boltzmann constant is $$1.380 \times 10^{-23} J K^{-1}$$, then the number of significant digits in the calculated value of the universal gas constant is

A compound $$H_2X$$ with molar weight of 80 g is dissolved in a solvent having density of $$0.4 g ml^{-1}$$. Assuming no change in volume upon dissolution, the molality of a 3.2 molar solution is

$$MX_2$$ dissociates into $$M^{2+}$$ and $$X^-$$ ions in an aqueous solution, with a degree of dissociation $$(\alpha)$$ of 0.5. The ratio of the observed depression of freezing point of the aqueous solution to the value of the depression of freezing point in the absence of ionic dissociation is