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Pyrite ($Fe{S}_2$), crystallizes in a cubic unit cell with a cell edge of $0.540\text{nm}$. The density of pyrite is $5.02{\text{g/cm}}^3$. How many $F{e}^{2+}$ and $S_2^{2-}$ ions are present in a single unit cell? ($S=32\text{u},Fe=56\text{u}$)

Glycerol is a [DPMT 1984, 2000; MP PET 2001; J & K 2005]

The major product of the following reaction is :

The decreasing order of $-I$ effect for the given groups is:
(i) $-CN$
(ii) $-N{O}_2$
(iii) $-N{H}_2$
(iv) $-F$

$H_{3}P{O}_3$ can be represented by structures 1 and 2 shown below. Can these two structures be taken as the canonical forms of the resonance hybrid representing $H_{3}P{O}_3$? If not, give reasons for the same.

Reason: It is prepared by coordination polymerization of ethylene

Benzoic acid dissolved in benzene will show a molecular weight of

How will you prepare
the following compounds from benzene? You may use any inorganic
reagent and any organic reagent having not more than one carbon atom

(i) Methyl
benzoate (ii) m-Nitrobenzoic
acid

(iii)
p-Nitrobenzoic
acid (iv) Phenylacetic acid

(v)
p-Nitrobenzaldehyde.

In a Young's double-slit experiment, the slits are $0.5\text{mm}$ apart and the interference pattern is observed on a screen at a distance of $100\text{cm}$ from the slits. It is found that the ninth bright fringe on one side of the central bright fringe, is at a distance of $10.5\text{mm}$ from the second dark fringe lying on the opposite side of central bright fringe. The wavelength of the light used is,

state two physical quantities having their units as Pa.

A molecule of acetylene contains

Which of the following product(s) may be formed by the reaction of diborane with ammonia?

The correct order of basicities of the following compounds is:

The monomer of polyester is -

The temperature coefficient for the saponification of ethyl acetate by $NaOH$ is $1.75$, when the temperatures rises from $25{}^{o}C$ to $35{}^{o}C$. What is the activation energy for the saponification of ethyl acetate?

(Take ${\log }_{10}\left(1.75\right)=0.243$)

Gold
(atomic radius = 0.144 nm) crystallises in a face-centred unit cell.
What is the length of a side of the cell?

$H_2{O}_2$ cannot oxidize:

The shortest wavelength in H spectrum of Lyman series when $R_H=109678c{m}^{-1}$ is

For the cell reaction:

$Zn\left(s\right)+C{u}^{2+}\left(0.1M\right)\to Z{n}^{2+}\left(0.01M\right)+Cu\left(s\right)$

If $E^0$ is the standard emf of the cell at 298 K, then:

Consider the following reaction, The possible product(s) is/are

Which of the following compound gives fastest aromatic nucleophilic substitution reaction ?

Maximum extent of steric inhibition of resonance can be expected in

The following data pertains to reaction between A and B :

$\begin{array}{cccc}S.NO.& \left[A\right]mol{L}^{-1}& mol{L}^{-1}& Rate\left(mol{L}^{-1}tim{e}^{-1}\right)\\ 1& 1.0\times {10}^{-2}& 2.0\times {10}^{-2}& 2.0\times {10}^4\\ 2& 2.0\times {10}^{-2}& 2.0\times {10}^{-2}& 4.0\times {10}^{-4}\\ 3& 2.0\times {10}^{-2}& 4.0\times {10}^{-2}& 8.0\times {10}^{-4}\end{array}$

Which of the following inference(s) can be drawn from the above data ?

1. Rate constant of the reaction is $1.0\times {10}^{-4}$

2. Rate law of the reaction is: rate $=k\left[A\right]\left[B\right]$

3. Rate of reaction increases four times on doubting the concentration of both the reactants.

Select the correct answer using the codes given below:

Maximum deviation from ideal gas is expected from :

The element ${}_{90}T{h}^{232}$ belongs to thorium series. Which of the following will act as the end product of the series