Among the following, which is a non-essential amino acid?

The degree of dissociation ( \(\alpha\) ) of a weak electrolyte \(A_x B_y\) is related to the van't Hoff factor (i) by the expression:

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Second period elements of p-Block differs from the rest of their group members due to their small atomic size, high electronegativity, high ionization enthalpy and absence of d-orbitals. The elements from the second period like C, N, O have unique property of forming \(p \pi-p \pi\) multiple bonds whereas other heavier elements of p-block form \(d \pi-p \pi\) multiple bonds. This changes the properties of second period elements to great extent. Also the single bond strength of the p-block elements with their own atoms gets affected by their atomic size and presence of lone pairs.
Inert pair effect also affects the properties of the p-Block elements especially for those elements which are present from 4th period onward and this happens due to poor screening effect of inner (n-1)d subshell electrons.
The decreasing order of melting point of the following elements will be:
A. Nitrogen (N)
B. Phosphorus (P)
C. Arsenic (As)
D. Antimony (Sb)
E. Bismuth (Bi)
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\(KMnO _4\) is prepared by the fusion of \(MnO _2\) with an alkali metal hydroxide and an oxidizing agent like \(KNO _3\) to give a dark-green manganate ion which disproportionate to give permanganate as follows.
\(\begin{array}{l}2 MnO _2+4 KOH + O _2 \rightarrow 2 K_2 MnO _4+2 H _2 O \\ 3 K_2 MnO _4+4 H ^{+} \rightarrow 2 KMnO _4+ MnO _2+2 H _2 O \end{array}\)
On heating \(K _2 MnO _4\) decomposes at 513 K to give \(K _2 MnO _4\). Permanganate ion is tetrahedral and diamagnetic
Acidified \(KMnO _4\) acts a strong oxidizing agent which oxidizes oxalic acid, ferrous ions, nitrite ion and iodides.
When one mole of \(KMnO _4\) is used for the oxidation of oxalic acid, how many moles of \(CO _2\) will be produced?

Nitration of aniline with nitric acid and sulphuric acid gives major product as

The standard electrode potential for a Daniell cell is 1.1 V. Calculate the standard Gibbs energy for the reactiction
\(Zn ( s )+ Cu ^{2+}( aq ) \rightarrow Zn ^{2Solution+}( aq )+ Cu ( s )\)

The correct order of increasing basicity in aqueous medium for
I. \(NH_3\)
II. \(CH_3CH_2NH_2\)
III. \((CH_3CH_2)_2NH\)
IV. \((CH_3CH_2)_3N\) is :
A. \((II) < (I) < (IV) < (III)\)
B. \((II) < (I) < (III) < (IV)\)
C. \((I) < (II) < (IV) < (III)\)
D. \((I) > (II) > (IV) > (III)\)
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The ratio of the radius of the third orbit to that of the second orbit in a hydrogen atom is

The ratio of the electric field (E) and the magnetic field (B) associated with a plane electromagnetic wave is equal to

Match List-I (Name) with List-II (Solution)

List-I (Name)	List-II (Solution)
(A) Isotonic solution	(I) A solution with lower osmotic pressure than that of other solution
(B) Hypotonic solution	(II) A solution with higher osmotic pressure than that of other solution
(C) Ideal solution	(III) Different solutions with equal osmotic pressure
(D) Hypertonic solution	(IV) A solution that obeys Raoult's law at all temperatures and concentration

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Match List - I with List - II.

List - I (Magnetic Property)	List - II (Substance)
(A) Ferrimagnetic	(I) MnO
(B) Antiferromagnetic	(II) \(H _2 O\)
(C) Ferromagnetic	(III) \(ZnFe _2 O _4\)
(D) Diamagnetic	(IV) \(CrO _2\)

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Two parallel beams of monochromatic light pass through a long slit of width 0.2 mm one by one. The angular divergence in which most of the light is diffracted for both the beams are \( 2.25 \times 10^{-3} \text{ rad} \) and \( 4.50 \times 10^{-3} \text{ rad} \) respectively. If the wavelength of the first beam is \( \lambda_1 = 3000 \text{ Å} \), then the wavelength of the second beam is:

The particular solution of the differential equation \(\left[\log \left(\frac{d y}{d x}\right)=3 x+4 y\right.\) satisfying \(y=0\) when \(x=0\) is :