Arrange the following in the increasing order of their spin-only magnetic moment values in free state
(A) Mn³⁺
(B) Fe³⁺
(C) Sc³⁺
(D) Cr³⁺
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The reagent involved in Lucas test is

Which of the following is a molecular solid?

"Answer the question on basis of passage given below:
\(G = \frac{\kappa A}{l}\)=k (both \(A\) and \(l\) are unity in their appropriate units in m or cm)
Molar conductivity of a solution at a given concentration is the conductance of the volume \(V\) of solution containing one mole of electrolyte kept between two electrodes with area of cross section \(A\) and distance of unit length (\(l\)). Therefore,
\(\Lambda_m = \frac{\kappa A}{l}\)
Since \(l = 1\) and \(A = V\) (volume containing 1 mole of electrolyte),
\(\Lambda_m = \kappa V\)
If the length \(l\) in the column of an electrolytic cell is halved and its area of cross-section is tripled, then conductance (\(G\)) would become:"

Read the passage carefully and answer the questions
The speed at which a chemical reaction takes place is called the rate of reaction. The rate of reaction depends on various factors like concentration of the reactants, temperature, etc. The relation between the rate of reaction and the concentration of reacting species is represented by the equation r = k[A]^x[B]^y, where x and y are the order of the reaction with respect to the reactants A and B, respectively. The overall order of the reaction is x + y. The rate of reaction can also be increased by the use of a catalyst which provides an alternate pathway of lower activation energy. It increases the rate of forward and backward reaction to an equal extent. It does not alter the Gibbs energy of the reaction.
If the rate of reaction becomes twenty-seven times upon increasing the concentration of reactant by three times, the order of this reaction is

The unit of E_cell is

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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.
How many different structural isomers that correspond to the molecular formula \(\mathrm{C}_3 \mathrm{H}_9 \mathrm{~N}\) are possible? Out of these, how many will give a positive carbylamine test?

The angle between the pair of straight lines given by \(\vec{r}=(3 \hat{i}+2 \hat{j}-4 \hat{k})+\lambda(\hat{i}+2 \hat{j}+2 \hat{k})\) and \(\vec{r}=5 \hat{i}-2 \hat{j}+\mu(3 \hat{i}+2 \hat{j}+6 \hat{k})\) is :

Chemisorption has the following traits:
A. High enthalpy of adsorption
B. Reversible
C. Favoured by high temperature
D. Requires low activation enthalpy
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Mr. X invested Rs. 4, 00, 000 in shares for 5 years.
The value of this investment was Rs. \(4,50,000\) at the end of the second year, Rs. \(4,90,000\) at the end of the third year and on maturity, the final value stood at Rs. \(6,00,000\).
The compound annual growth rate (CAGR) of this investment is :
[Given that \((1.5)^{1 / 5}=1.084\) ]

Let \(R\) be a relation on the set of integers given by \((x, y) \in R \Longleftrightarrow|x-y| \leq 1\). Then \(R\) is
(A) Reflexive relation
(B) Symmetric relation
(C) Transitive relation
(D) \(R\) is not a function
(E) Empty relation
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Arrange the following amines in increasing order of their basic strength in the gaseous phase
(A) \(\mathrm{C}_6 \mathrm{H}_5 \mathrm{NH}_2\)
(B) C\(_6\)\(\mathrm{H}_5CH\)\(_2\)\(\mathrm{NH}_2\)
(C) (CH\(_3\))\(_3\)N
(D) CH\(_3\)\(\mathrm{NH}_2\)
Choose the correct answer from the options given below:

If \(\mathbb{Z}\) and \(\mathbb{R}\) set of integers and set of real numbers respectively, then match List I with List II.

List - I	List - II
(A) \(5 x-3<3 x+1, x \in \mathbb{Z}\)	(I) \(x \in(-\infty,-3)\)
(B) \(3 x+17 \leq 2(1-x), x \in \mathbb{R}\)	(II) \(x \in(-\infty,-1)\)
(C) \(13 x+17<2(1-x), x \in \mathbb{R}\)	(III) \(\{\ldots,-4,-3, \ldots, 0,1\}\)
(D) \(\frac{2 x+3}{5}-2>\frac{3(x-2)}{5}, x \in \mathbb{Z}\)	(IV) \(\{\ldots,-4,-3,-2\}\)

Choose the correct answer from the options given below: