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

When the temperature of $2$ moles of an ideal gas is increased by $20°\mathrm{C}$ at constant pressure, find the work involved in the process.

Match List-I with List-II
\(\begin{array}{|c|l|l|l|}\hline & \text{List-I (Reaction)} & & \text{List-II (Enzyme)} \\ \hline \text{A.} & \begin{array}{l} \text{Hydrolysis of starch to} \\ \text{maltose}\end{array} & \text{I} & \text{Diastase} \\ \hline \text{B.} & \begin{array}{l} \text{Conversion of proteins} \\ \text{to peptides} \end{array} & \text{II} & \text{Pepsin} \\ \hline \text{C.} & \begin{array}{l} \text{Hydrolysis of sucrose} \\ \text{to glucose and fructose}\end{array} & \text{III} & \text{Invertase} \\ \hline \text{D.} & \text{Glucose to ethanol} & \text{IV} & \text{Zymase} \\ \hline\end{array}\)
The correct answer is

Le-Chateliar's principle is not applicable to

In the structure of \(\mathrm{B}_2 \mathrm{H}_6\), the number of \(\mathrm{BH}_2\) groups present in one plane, and the number of \(\mathrm{B}-\mathrm{H}\) bonds, \(\mathrm{B}-\mathrm{B}\) bonds, \(\mathrm{B}-\mathrm{H}-\mathrm{B}\) bridge bonds are respectively

The oxidation state and covalency of \(\mathrm{Al}\) in \(\left[\mathrm{AlCl}\left(\mathrm{H}_2 \mathrm{O}\right)_5\right]^{2+}\) respectively are

Sodium nitrite is reacted with ${\mathrm{H}}_2{\mathrm{SO}}_4$ to form ${\mathrm{NaHSO}}_4,{\mathrm{HNO}}_3,$ water and $\mathrm{X}$. Gold is dissolved in aqua regia to form water, ${\mathrm{AuCl}}_4^{-}$ and $\mathrm{Y}.\mathrm{X}$ and $\mathrm{Y}$ are respectively

If \(\mathbf{a}, \mathbf{b}, \mathbf{c}\) are non-zero vectors such that \((\mathbf{a} \times \mathbf{b}) \times \mathbf{c}\) \(=\frac{1}{3}|\mathbf{b}||\mathbf{c}| \mathbf{a}, \mathbf{c} \perp \mathbf{a}\) and \(\theta\) is the angle between the vectors \(\mathbf{b}\) and \(\mathbf{c}\), then \(\sin \theta\) is equal to

Let \(\mathbf{u}=\hat{\mathbf{i}}-2 \hat{\mathbf{j}}\) and \(\mathbf{v}=-3 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}\). Consider three points \(P, Q\) and \(R\) having position vectors \(\frac{-1}{7} \hat{\mathbf{i}}, \frac{-1}{4} \hat{\mathbf{j}}\) and \(-2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}\) respectively.
Among these, the points in the line segment passing through \(\mathbf{u}\) and \(\mathbf{v}\) are

If \(r_1, r_2\) and \(r_3\) of a \(\triangle A B C\) are in Harmonic progression, then \(a, b\) and \(c\) will be in

Among the following, the physical quantity having the dimensions of Young's modulus is

In the fusion reaction, \({ }_1 \mathrm{H}^2+{ }_1 \mathrm{H}^2 \rightarrow{ }_2 \mathrm{He}^4+\mathrm{Q}, \mathrm{Q}\) is energy released. If ' \(\mathrm{c}\) ' is the speed of light and ' \(\mathrm{m}\) ' is the mass of each deuterium nucleus then the mass of helium nucleus formed is

Which one of the following is not formed by aldol condensation of a mixture of ethanal and propanal?