Given below are two statements: $\\$Statement I: Among $\left[\mathrm{Cu}\left(\mathrm{NH}_{3}\right)^{2+},\left[\mathrm{Ni}(\mathrm{en})_{3}\right)\right]^{2+}$, $\left[\mathrm{Ni}\left(\mathrm{NH}_{3}\right)_{6}\right]^{2+}$ and $\left[\mathrm{Mn}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{2+},\left[\mathrm{Mn}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{2+}$, has the maximum number of unpaired electrons. $\\$Statement II: The number of pairs among $\left\{\left[\mathrm{NiCl}_{4}\right]^{2-},\left[\mathrm{Ni}(\mathrm{CO})_{4}\right]\right\},\left\{\left[\mathrm{NiCl}_{4}\right]^{2-},\left[\mathrm{Ni}(\mathrm{CN})_{4}\right]^{2-}\right.$ and $\left\{\left[\mathrm{Ni}(\mathrm{CO})_{4}\right], \quad\left[\mathrm{Ni}(\mathrm{CN})_{4}\right]^{2-}\right\}$ that contain only diamagnetic species is two. $\\$In the light of the above statements, choose the correct answer from the options given below:

$\mathrm{MnO}_{4}^{2-}$, in acidic medium, disproportionates to :

Identify the correct statements.$\\$ A. Arginine and Tryptophan are essential amino acids.$\\$ B. Histidine does not contain heterocyclic ring in its structure.$\\$ C. Proline is a six membered cyclic ring amino acid.$\\$ D. Glycine does not have chiral centre. E. Cysteine has characteristic feature of side chain as Choose the correct answer from the options given below:

For the reaction, $\mathrm{N}_{2} \mathrm{O}_{4} \rightleftharpoons 2 \mathrm{NO}_{2}$, graph is plotted as shown below. Identify correct statements. A. Standard free energy change for the reaction is B. As in graph is positive, will not dissociate into at all. C. Reverse reaction will go to completion. D. When 1 mole of changes into equilibrium mixture, value of E. When 2 mole of , changes into equilibrium mixture, for equilibrium mixture is E. When 2 mole of , changes into equilibrium mixture, for equilibrium mixture is Choose the correct answer from the options given below :

Consider the following reactions: $\\ \mathrm{NaCl}+\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}+\mathrm{H}_{2} \mathrm{SO}_{4} \rightarrow \mathrm{~A}+\mathrm{KHSO}_{4}+\mathrm{NaHSO}_{4}+\mathrm{H}_{2} \mathrm{O}\\$ In the product ' C ', ' X ' is the number of units, ' Y ' is the total number oxygen atoms present and ' ' is the oxidation state of Cr . The value of is

A uniform rod of mass $m$ and length $l$ suspended by means of two identical inextensible light strings as shown in figure. Tension in one string immediately after the other string is cut, is ________. (g acceleration due to gravity)

Identify correct statement from the following : $\\$A. Propanal and propanone are functional isomers $\\$B. Ethoxyethane and methoxypropane are metamers. $\\$C. But-2-ene shows optical isomerism. $\\$D. But-1-ene and but-2-ene are functional isomers. E. Pentane and 2, 2-dimethyl propane are chain isomers. Choose the correct answer from the options given below :

80 mL of a hydrocarbon on mixing with 264 mL of oxygen in a closed U-tube undergoes complete combustion. The residual gases after cooling to 273 K occupy 224 mL . When the system is treated with KOH solution, the volume decreases to 64 mL . The formula of the hydrocarbon is :

Elements P and Q form two types of non-volatile, non-ionizable compounds PQ and $\mathrm{PQ}_{2}$. When 1 g of PQ is dissolved in 50 g of solvent ' A '. $\Delta \mathrm{T}_{\mathrm{b}}$ was 1.176 K while when 1 g of is dissolved in 50 g of solvent ' A ', was 0.689 K . ( of ' A ' ). The molar masses of elements P and Q (in ) respectively, are :

An organic compound $(\mathrm{P})$ on treatment with aqueous ammonia under hot condition forms compound $(\mathrm{Q})$ which on heating with $\mathrm{Br}_{2}$ and KOH forms compound (R) having molecular formula . Names of and R respectively are.

Which of the following represents the correct trend for the mentioned property? $\\$A. $\mathrm{F}>\mathrm{P}>\mathrm{S}>\mathrm{B}-$ Frist Ionization Energy B. Electron Affinity C. Metallic character D. - Basic character Choose the correct answer from the option given below.

Given below are two statements : $\\$Statement I: The number of pairs among [ $\mathrm{SiO}_{2}, \mathrm{CO}_{2}$ ], and , which contain oxides that are both amphoteric is 2. Statement II : is an electron deficient molecule can act as a lewis acid, forms adduct with and has a trigonal planar geometry. In the light of the above statement, choose the correct answer from the option given below.

Water flows through a horizontal tube as shown in the figure. The difference in height between the water columns in vertical tubes is $5 cm$ and the area of cross-sections at A and B are $6 cm^2$ and respectively. The rate of flow will be_____ (take g = 1)

$6 \int_{0}^{\pi}|(\sin 3 \mathrm{x}+\sin 2 \mathrm{x}+\sin \mathrm{x})| \mathrm{dx}$ is equal to.......

Let $\mathrm{S}=\{(\mathrm{m}, \mathrm{n}): \mathrm{m}, \mathrm{n} \in\{1,2,3, \ldots . ., 50\}\}$. If the number of elements ( ) in S such that is a multiple of 5 is p and the number of elements in S such that is a square of a prime number is q , then is equal to

For some $\alpha, \beta \in R$, let $A=\left[\begin{array}{ll}\alpha & 2 \\ 1 & 2\end{array}\right]$ and be such that . Then is equal to

Potential energy (V) versus distance (x) is given by the graph, Rank various regions as per the magnitudes of the force (F) acting on a particle from high to low.

Let $f: R \rightarrow R$ be a twice differentiable function such that the quadratic equation $\mathrm{f}(\mathrm{x}) \mathrm{m}^{2}-2 \mathrm{f}^{\prime}(\mathrm{x}) \mathrm{m}+\mathrm{f}^{\prime}(\mathrm{x})=0$ in m , has two equal roots for every . If , and is the largest interval in which the function is increasing, then is equal to

Let $\mathrm{a}_{1}=1$ and for $\mathrm{n} \geq 1, \mathrm{a}_{\mathrm{n}+1}$\\ . Then is equal to

The sum of all the roots of the equation $(\mathrm{x}-1)^{2}-5|\mathrm{x}-1|+6=0$, is: