\(X\) is a non-volatile solute and \(Y\) is a volatile solvent. The following vapour pressures are observed by dissolving \(X\) in \(Y\).


The correct order of vapour pressures is

Consider the following
Statement I : \(\mathrm{H}_2 \mathrm{O}_2\) acts as an oxidsing as well as reducing agent in both acidic and basic media.
Statement-II : \(10 \mathrm{~V~} \mathrm{H}_2 \mathrm{O}_2\) sample means it contains \(6 \%,(\mathrm{w} / \mathrm{v}) \mathrm{H}_2 \mathrm{O}_2\).
The correct answer is

Identify the correct statements from the following:
$\mathrm{I})$ When $\mathrm{DNA}$ is hydrolysed, adenine and thymine are obtained in equal quantities.
$\mathrm{II})$ When $\mathrm{RNA}$ is hydrolysed, adenine and uracil are obtained in equal quantities.
$\mathrm{III})$ Amylose is branched polymer with $\mathrm{\alpha }1\to 4$ and $\mathrm{\alpha }1\to 6$ glycosidic linkages.
$\mathrm{IV})$ Addison disease is due to the abnormal functioning of adrenal cortex.

The number of moles of solute present in the solutions of I, II and III is respectively
I. \(500 \mathrm{~mL}\) of \(0.2 \mathrm{M} \mathrm{NaOH}\)
II. \(200 \mathrm{~mL}\) of \(0.1 \mathrm{~N} \mathrm{H}_2 \mathrm{SO}_4\)
III. \(6 \mathrm{~g}\) of urea in \(1 \mathrm{~kg}\) of water

The formation of oxide ion \(\mathrm{O}^{2-}\) from oxygen atom requires an exothermic reaction, followed by an endothermic step as shown below. The process of formation of \(\mathrm{O}^{2-}\) in gas phase is unfavorable \(\left(\Delta H^{\ominus}=+\right.\) ve \()\), even though it has stable configuration of the nearest noble gas neon. This is because
\(\begin{aligned} & \mathrm{O}(g)+e^{-} \longrightarrow \mathrm{O}^{-}(g) ; \Delta H^{\ominus}=-141 \mathrm{~kJ} \mathrm{~mol}^{-1} \\ & \mathrm{O}^{-}(g)+e^{-} \longrightarrow \mathrm{O}^{2-}(g) ; \Delta H^{\ominus}=+760 \mathrm{~kJ} \mathrm{~mol}^{-1}\end{aligned}\)

The fraction of voids occupied in the inverse spinel compounds are

What is A in the following reaction?
\(\mathrm{CH}_3-\mathrm{CH}=\mathrm{CH}-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{CN} \xrightarrow[\text { 2) } \mathrm{H}_2 \mathrm{O}]{\text { 1) } \mathrm{A} \ell \mathrm{H}(\mathrm{i}-\mathrm{Bu})_2}(\mathrm{~A})\)

The lengths of the two focal chords of the parabola \(y^2=16 x\) is 25 units each. If these two chords cut the parabola at A, B, C and D, then the area (in sq. units) of the quadrilateral formed by \(\mathrm{A}, \mathrm{B}, \mathrm{C}\) and D is

If the pairs of straight lines represented by \(3 x^2+2 h x y-3 y^2=0\) and \(3 x^2+2 h x y-3 y^2+2 x-4 y+c=0\) form a square, then \((h, c)=\)

Assertion (A) : \(\mathrm{NaCl}\) is less soluble in heavy water than in ordinary water.

Reason (R) : Dielectric constant of ordinary water is more than that of heavy water.
The correct answer is

The correct order of reactivity of the following compounds, towards electrophilic substitution reactions is

The terminal velocity of a liquid drop of radius ' \(r\) ' falling through air is \(v\). If two such drops are combined to form a bigger drop, the terminal velocity with which the bigger drop falls through air is (ignore any buoyant force due to air)

If \(y=a^3 e^{b^2 x+c}\) is the general solution of a differential equation, where \(a\) and \(c\) are arbitrary constants and \(b\) is a fixed constant, then the order of differential equation is