List of practice Questions

The value of the integral $ \int ^{\frac{\pi}{2}}_{-\frac{\pi}{2}} \bigg ( x^2 + \log \frac{\pi - x }{ \pi + x } \bigg ) \, \cos \, x \, dx $

In $XeOF_{2}$ molecule, the hybridisation of $Xe$ orbitals is

In the zoological name of fish Catla catla, the specific name is identical with the generic name, thus it is an example of

In human beings, the three pair of salivary glands and numerous buccal glands produce about

In domestic sewage, impurities in the form of suspended solids, colloidal materials and dissolved materials, are about

In a Bipolar Junction Transistor $ (BJT) $ , the current gain $ \beta $ is defined is

If $a_1, a_2, a_3,... $ are in harmonic progression with $a_1 = 5$ and $ a_{20} = 25.$ Then, the least positive integer $n$ for which $a_n < 0,$ is

Identify the binary mixture(s) that can be separated into individual compounds, by differential extraction, as shown in the given scheme.

Hydrolysis of proteins give

Given that the radius of $N a^{+}$ion is $0.95 \,?$ and that of $C l^{-}$ion is $1.81\,?$, hence in the close packed lattice of $Cl ^{-}$ions, $Na ^{+}$ions prefer to occupy

For one mole of a van der Waals' gas when $b = 0$ and $T = 300\, K$. the $pV\, vs \,1/V$ plot is shown below. The value of the van der Waals' constant a (atm $L\, mol^{-2}$)

The shape of $XeO_2F_2$ molecule is

The compound that undergoes decarboxylation most readily under mild condition is

The carboxyl functional group $(- COOH)$ is present in

In the cyanide extraction process of silver from argentite ore, the oxidising and reducing agents used are

The number of optically active products obtained from the complete ozonolysis of the given compound, is

Which ordering of compounds is according to the decreasing order of the oxidation state of nitrogen?

Choose the correct reason(s) for the stability of the lyophobic colloidal particles.

Equivalent weight of potassium permanganate in alkaline solution is equal to $m$

Effective atomic number of the central metal ion, $Pt$, in the complex $\left[Pt\left(N H_{3}\right)_{6}\right]^{4+}$ is: (The atomic no. of $Pt$ is $78$)

Denitrification is carried out by

If $ lim_{ x \to \infty} \bigg( \frac{x^2 + x + 1}{x + 1} - ax - b \bigg) $ = 4, then

Cortisol is secreted by the adrenal cortex in response to stress. In addition to its function in a stress response, it functions in negative feedback by

Cohen and Boyer isolated an antibiotic resistance gene, by cutting out a piece of DNA form a plasmid which was responsible for conferring antibiotic resistance, in the year

$\left[C o(C N)_{6}\right]^{3-}$ , a complex ion of cobalt (III), absorbs radiations in violet region of the visible light. Its aqueous solution, therefore, appears