Compound that will give positive Lassaigne's test for both nitrogen and halogen is

Arrange the following compounds in increasing order of their dipole moment : \(\mathrm{HBr}, \mathrm{H}_2 \mathrm{~S}, \mathrm{NF}_3\) and \(\mathrm{CHCl}_3\)

At \(600\,K , 2\,mol\) of \(NO\) are mixed with \(1 mol\) of \(O _{2}\). \(2 NO _{( g )}+ O _{2}( g ) \rightleftarrows 2 NO _{2}( g )\) The reaction occurring as above comes to equilibrium under a total pressure of 1 atom. Analysis of the system shows that \(0.6 mol\) of oxygen are present at equilibrium. The equilibrium constant for the reaction is \(.........\)(Nearest integer).

Correct statements regarding Arrhenius equation among the following are:
(A) Factor \(e^{-Ea/RT}\) corresponds to fraction of molecules having kinetic energy less than Ea.
(B) At a given temperature, lower the Ea, faster is the reaction.
(C) Increase in temperature by about \(10^{\circ}C\) doubles the rate of reaction.
(D) Plot of log k vs \(\frac{1}{T}\) gives a straight line with \(slope = -\frac{Ea}{R}\).
Choose the correct answer from the options given below :

The reaction that occurs in a breath analyser, a device used to determine the alcohol level in a person's blood stream is \(2 \mathrm{~K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}+8 \mathrm{H}_{2} \mathrm{SO}_{4}+3 \mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O} \rightarrow 2 \mathrm{Cr}_{2}\left(\mathrm{SO}_{4}\right)_{3}+\) \(3 \mathrm{C}_{2} \mathrm{H}_{4} \mathrm{O}_{2}+2 \mathrm{~K}_{2} \mathrm{SO}_{4}+11 \mathrm{H}_{2} \mathrm{O}\) If the rate of appearance of \(\mathrm{Cr}_{2}\left(\mathrm{SO}_{4}\right)_{3}\) is \(2.67 \,\mathrm{~mol}\) \(\min ^{-1}\) at a particular time, the rate of disappearance of \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\) at the same time is ...... \(\mathrm{mol}\, \mathrm{min}^{-1}\) (Nearest integer)

White Phosphorus on reaction with concentrated \(NaOH\) solution in an inert atmosphere of \(\mathrm{CO}_{2}\) gives phosphine and compound \((\mathrm{X}) .(\mathrm{X})\) on acidification with \(HCl\) gives compound \((Y)\). The basicity of compound \((Y)\) is

Match List\(-I\) with List\(-II\)

List\(-I\) (Si-Compounds)	List\(-II\) (Si-Polymeric/other products)
\((A)\) \(\left( CH _{3}\right)_{4} Si\)	\((I)\) Chain silicone
\((B)\) \(\left( CH _{3}\right) Si ( OH )_{3}\)	\((II)\) Dimeric silicone
\((C)\) \(\left( CH _{3}\right)_{2} Si ( OH )_{2}\)	\((III)\) Silane
\((D)\) \(\left( CH _{3}\right)_{3} Si ( OH )\)	\((IV)\) \(2 D\) - Silicone

Choose the correct answer from the options given below

Match List - I with List - II.

List - I	List - II
(A) Electric field inside (distance \(r>0\) from center) of a uniformly charged spherical shell with surface charge density \(\sigma\), and radius R.	(I) \(\sigma / \epsilon_0\)
(B) Electric field at distance \(r >0\) from a uniformly charged infinite plane sheet with surface charge density \(\sigma\).	(II) \(\sigma / 2 \epsilon_0\)
(C) Electric field outside (distance \(r>0\) from center) of a uniformly charged spherical shell with surface charge density \(\sigma\), and radius R.	(III) \(0\)
(D) Electric field between 2 oppositely charged infinite plane parallel sheets with uniform surface charge density \(\sigma\).	(IV) \(\frac{\sigma R^2}{\epsilon_0 r^2}\)

Choose the correct answer from the options given\(\text{ }\)below\(\text{ }\):

A species having carbon with sextet of electrons and can act as electrophile is called _______.

Let \(f: R -\{2,6\} \rightarrow R\) be real valued function defined as \(f(x)=\frac{x^2+2 x+1}{x^2-8 x+12}\). Then range of \(f\) is

\(\sqrt{d_{1}}\) and \(\sqrt{d_{2}}\) are the impact parameters corresponding to scattering angles \(60^{\circ}\) and \(90^{\circ}\) respectively, when an \(\alpha\) particle is approaching a gold nucleus. For \(d_{1}=x d_{2}\), the value of \(x\) will be ________

Let \(\vec a = \hat i + \hat j + \hat k,\,\,\,\vec c = \hat j - \hat k\) and a vector \(\vec b\) be such that \(\vec a \times \vec b = \,\vec c\) and \(\vec a\, \cdot \,\vec b = \,3.\) Then \(\left| {\vec b} \right|\) equals?

The spin-only magnetic moment value of \(M ^{3+}\) ion (in gaseous state) from the pairs \(Cr ^{3+} / Cr ^{2+}\), \(Mn ^{3+} / Mn ^{2}, Fe ^{3+} / Fe ^{2+}\) and \(Co ^{3+} / Co ^{2+}\) that has negative standard electrode potential, is \(B.M...........\) [Nearest integer]