The correct order of dipole moments of \(\mathrm{NH}_3 \cdot \mathrm{H}_2 \mathrm{O}\) and \(\mathrm{NF}_3\) is

Assertion (A) Covalent character follows \(\mathrm{NaCl} < \mathrm{MgCl}_2 < \mathrm{BeCl}_2 < \mathrm{LiCl}\).
Reason (R) According to Fajan's rules, covalent character of ionic compounds increases with decrease in size of cation.

The density of an ideal gas can be given by where $P,V,M,T$ and $R$ respectively denote pressure, volume, molar-mass, temperature and universal gas constant.

A covalent molecule $\mathrm{X}-\mathrm{Y}$ is found to have a dipole moment of $1.5\times {10}^{-29}\mathrm{C}.\mathrm{m}$ and $\mathrm{a}$ bond length of $150\mathrm{pm}$. The percent ionic character of the bond will be

If for the reaction \(\mathrm{CCl}_4(\mathrm{~g}) \rightarrow \mathrm{C}(\mathrm{g})+4 \mathrm{Cl}(\mathrm{g})\) the following data is given
\(\begin{aligned} & \Delta_{\mathrm{vap}} \mathrm{H}^\theta \mathrm{CCl}_4(\mathrm{l})=30 \mathrm{~kJ} \mathrm{~mol}^{-1} \text {, vap = vaporization } \\ & \Delta_{\mathrm{f}} \mathrm{H}^\theta{ }_{\mathrm{CCl}_4}=-136.0 \mathrm{~kJ} \mathrm{~mol}^{-1}, \mathrm{f}=\text { formation } \\ & \Delta_{\mathrm{a}} \mathrm{H}_{\mathrm{C}}^{\mathrm{q}}=714.0 \mathrm{~kJ} \mathrm{~mol}^{-1}, \mathrm{a}=\text { atomization } \\ & \Delta_{\mathrm{a}} \mathrm{H}^\theta \mathrm{Cl}_2=242.0 \mathrm{~kJ} \mathrm{~mol}^{-1}, \mathrm{a}=\text { atomization }\end{aligned}\)
the bond mean enthalpy of \(\mathrm{C}-\mathrm{Cl}\) in \(\mathrm{CCl}_4(\mathrm{l})\) is

Assertion (A) Propene on addition with hydrogen bromide in the presence of peroxide gives 1-bromopropane as the major product.
Reason (R) l-bromopropane is the major product because it is formed through the stable carbocation.
The correct answer is

The energy of a photon is \(3 \times 10^{-12}\) ergs. What is its wavelength in \(\mathrm{nm}\) ?
\(\text { ( } h=6.62 \times 10^{-27} \text { ergs-s; } c=3 \times 10^{10} \mathrm{~cm} / \mathrm{s} \text { ) }\)

The correct order of the non-metallic character among the elements \(\mathrm{B}, \mathrm{C}, \mathrm{N}, \mathrm{F}\) and Si is

Two spherical soap bubbles of radii \(r_1\) and \(r_2\) in vacuum combine under isothermal conditions. The resulting bubble has a radius equal to:

A bullet of mass \(10 \mathrm{~g}\) pierces through a plate \(A\) of mass \(500 \mathrm{~g}\) and then gets embedded into a second plate \(B\) of mass \(1.49 \mathrm{~kg}\) as shown in the figure. Initially, the two plates \(A\) and \(B\) are at rest and move with same velocity after collision. The percentage loss in the initial kinetic energy of the bullet, when it is between the plates \(A\) and \(B\) is _______
(Neglect any loss of material of the plates during the collision)
[QUESTION]

The area (in square unit) of the circle which touches the lines \(4 x+3 y=15\) and \(4 x+3 y=5\) is

\(\int \frac{\mathrm{x}}{\sqrt{\mathrm{x}^2-2 \mathrm{x}+5}} \mathrm{dx}=\)

Variance of the following continuous frequency distribution is

Class Interval	\(0\)–\(4\)	\(4\)–\(8\)	\(8\)–\(12\)	\(12\)–\(16\)
Frequency	\(1\)	\(2\)	\(2\)	\(1\)