Compare the energies of following sets of quantum numbers for multielectron system. \((A)\) \(n=4,1=1\)   \((B)\) \(\mathrm{n}=4,1=2\)    \((C)\) \(\mathrm{n}=3,1=1\)     \((D)\) \(\mathrm{n}=3,1=2\)     \((E)\) \(n=4,1=0\) Choose the correct answer from the options given below:

The number of ionisable hydrogens present in the product obtained from a reaction of phosphorus trichloride and phosphonic acid is

\(A.\) Phenyl methanamine \(B.\) \(N , N\) -Dimethylaniline \(C.\) N-Methyl aniline \(D.\) Benzenamine Choose the correct order of basic nature of the above amines.

In a borax bead test under hot condition, a metal salt (one from the given) is heated at point B of the flame, resulted in green colour salt bead. The spin-only magnetic moment value of the salt is _______ BM.
(Nearest integer)
[Given atomic number of \(Cu =29, Ni =28, Mn =25, Fe =26\) ]

Consider the following reaction, the rate expression of which is given below \(\mathrm{A}+\mathrm{B} \rightarrow \mathrm{C}\) \(\text { rate }=\mathrm{k}[\mathrm{A}]^{1 / 2}[\mathrm{~B}]^{1 / 2}\) The reaction is initiated by taking \(1 \mathrm{M}\) concentration \(A\) and \(B\) each. If the rate constant \((k)\) is \(4.6 \times 10^{-2} \mathrm{~s}^{-1}\), then the time taken for \(\mathrm{A}\) to become \(0.1 \mathrm{M}\) is _______ sec. (nearest integer)

The mass of silver (Molar mass of \(\mathrm{Ag}: 108\  \mathrm{gmol}^{-1}\) ) displaced by a quantity of electricity which displaces \(5600 \mathrm{~mL}\) of \(\mathrm{O}_2\) at \(S.T.P.\) will be_____________\( g.\)

\(2.7 \mathrm{Kg}\) of each of water and acetic acid are mixed, The freezing point of the solution will be \(-\mathrm{x}^{\circ} \mathrm{C}\). Consider the acetic acid does not dimerise in water, nor dissociates in water \(\mathrm{x}=\) _______ (nearest integer) [Given : Molar mass of water \(=18 \mathrm{~g} \mathrm{~mol}^{-1}\), acetic acid \(=60 \mathrm{~g} \mathrm{~mol}^{-1}\) ] \({ }^{\mathrm{K}_{\mathrm{f}}} \mathrm{H}_2 \mathrm{O}: 1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\) \(\mathrm{K}_{\mathrm{r}}\) acetic acid : \(3.90 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\) freezing point: \(\mathrm{H}_2 \mathrm{O}=273 \mathrm{~K}\), acetic acid \(=290 \mathrm{~K}\) ]

Let \(\alpha \) and \(\beta \) be the roots of the equation \(x^2 + x + 1 = 0.\) Then for \(y \ne 0\) in \(R,\) \(\left| {\begin{array}{*{20}{c}}
{y\, + \,1}&\alpha &\beta \\
\alpha &{y\, + \,\beta }&1\\
\beta &1&{y\, + \,\alpha }
\end{array}} \right|\) is equal to

The sum of the intercepts on the coordinate axes of the plane passing through the point  \((-2,- 2,2)\) and containing the line joining the points \(( 1, - 1, 2)\) and  \(( 1, 1 , 1 )\)  is

Let \([t]\) denote the greatest integer \(\leq t\). The number of points where the function \(f(x)=[x]\left|x^{2}-1\right|+\sin \left(\frac{\pi}{[x]+3}\right)-[x+1], x \in(-2,2)\) is not continuous is ..... .

Let \(f(x)=\sqrt{\lim _{r \rightarrow x}\left\{\frac{2 r^2\left[(f(r))^2-f(x) f(r)\right]}{r^2-x^2}-r^3 e^{\frac{f(r)}{r}}\right\}}\) be differentiable in \((-\infty, 0) \cup(0, \infty)\) and \(f(1)=1\). Then the value of \(ea\), such that \(f(a)=0\), is equal to ...........

The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by \(E _{ x }= E _0 \sin ( kz -\omega t )\) \(B _{ y }= B _0 \sin ( kz -\omega t )\) Then the correct relation between \(E_0\) and \(B_0\) is given by

The adsorbent used in adsorption chromatography is _______. \(A\). silica gel  \(B\). alumina  \(C\). quick lime  \(D\). magnesia Choose the most appropriate answer from the options given below :