Select the order of increasing solubility of given gases in water at 293 K:
(A) \(\mathrm{O}_2\left(\mathrm{~K}_H=34.86 \mathrm{kbar}\right)\)
(B) \(\mathrm{He}\left(\mathrm{K}_H=144.97 \mathrm{kbar}\right)\)
(C) \(\mathrm{N}_2\left(\mathrm{~K}_H=76.48 \mathrm{kbar}\right)\)
(D) \(\mathrm{H}_2\left(\mathrm{~K}_H=69.16 \mathrm{kbar}\right)\)
Choose the correct answer from the options given below:

Which of the following are fat soluble vitamins :
(A) vit A
(B) vit B
(C) vit D
(D) vit E
(E) vit K
Choose the \textbf{correct} answer from the options given below :

Organic compounds derived from NH3 by replacing one or more H-atoms with alkyl or aryl groups will form primary, secondary and tertiary amines. The common methods which include their preparations are reduction of nitro group, amide group and nitrile group, Gabriel phthalimide synthesis and ammonolysis of alkyl halides. Amines are basic in nature due to the presence of a lone pair of electrons on the nitrogen atom. Important chemical properties of amines include acylation, alkylation and their interaction with nitrous acid. There are various tests which can distinguish different types of amines from each other, for e.g. carbylamine test, Hinsberg's test, coupling reaction etc. Another important class of compounds which can be derived from primary amines is azo compounds. These compounds are intensely colored and widely used as dyes in textile, leather and food industries.
Correctly predict the final product and the type of reaction for the following reaction:
\(C _6 H _5- N _2^{+} Cl ^{-}+ C _6 H _5- OH \xrightarrow{ HO ^{-}}\)?

Amines are reactive in nature, mainly due to difference in electronegativity between Nitrogen and Hydrogen and, due to lone pair of electrons on Nitrogen. Amines behave like nucleophiles and as good lewis bases and there are various reactions to support this. Different degree of amines differ in their reactivity due to steric hinderance and electronic effects. Aromatic amines are less basic due to + R effect, hence have higher pkb value than aliphatic amines. Basic strength of amines also depends on stability of corresponding conjugate acid in aqueous medium.
Which of the following will be having lowest \(p K_b\) in gaseous medium?

Mischmetall consists of

The correct cell representation for the following reaction is
\(M g ( s )+ 2 \mathrm { Ag } ^ { + } (0.0001 M ) \rightarrow M g ^{ 2 + }(0.130 M )+ 2 A g (s)\)

Chemical formula of laughing gas is:

A series LCR circuit with \( L = 5.0 \text{ H}, C = 80 \text{ } \mu\text{F} \) and \( R = 40 \text{ } \Omega \) is connected to a variable frequency 200 V source. The amplitude of current at the resonant frequency is

One root of the equation \(\left|\begin{array}{ccc}3 x-8 & 3 & 3 \\ 3 & 3 x-8 & 3 \\ 3 & 3 & 3 x-8\end{array}\right|=0\) is:

When the electronic configuration of a transition metal element \(X\) in +3 oxidation state is \([ Ar ] 3 d^5\), what is its atomic number?

Let \(A=\left[a_{i j}\right]\) be a square matrix, where \(a_{i j}=\left\{\begin{array}{ll}0, & \text { when } i=j \\ 1, & \text { otherwise }\end{array}\right.\)
If \(|\operatorname{adj} A|=|A|^2\), then which of the following statements are correct?
(A) A is a skew-symmetric matrix.
(B) A is a non-singular matrix.
(C) A is a square matrix of order 4.
(D) A is a symmetric matrix.
Choose the correct answer from the options given below :

Answer the question on the basis of passage given below :
For the transition elements
Sc \(\quad\) Ti \(\quad\) V \(\quad\) Cr \(\quad\) Mn\(\quad\) Fe \(\quad\) Co \(\quad\) Ni \(\quad\) Cu \(\quad\) Zn
Atomic numbers :
21 \(\quad\) 22 \(\quad\) 23 \(\quad\) 24 \(\quad\) 25 \(\quad\) 26 \(\quad\) 27 \(\quad\) 28 \(\quad\) 29 \(\quad\) 30 \(\quad\)
Which transition metal ion \(\text{M}^{2+}/\text{M}\) has standard electrode potential \(\text{E}^{\circ} = +0.34 \text{ V}\) ?

The reflected and the refracted rays are perpendicular to each other when light is incident on a transparent denser medium having refractive index \( \mu = \sqrt{3} \). The angle of incidence is