Predict the percentage of nitration products when aniline is subjected to nitration with conc. \(\mathrm{HNO}_3 /\) conc. \(\mathrm{H}_2 \mathrm{SO}_4\).

The type of isomerism exhibited by the complex \([\text{CoCl}_2 (\text{en})_2]\) is:

Read the passage carefully and answer the Questions
Carboxylic acids are the earliest organic compounds isolated from nature. These are also known as organic acids but are weaker acids as compared to mineral acids. However, they are more acidic than alcohols and phenols because of greater resonance stabilization of the parent acid and its conjugate base. The acidic strength is determined by the \(K _a\), which is called the acidity constant. The greater the value of \(K _a\), the greater the tendency of the acid to ionize and hence the stronger the acid. The acidic strength of the saturated aliphatic carboxylic acid depends upon the inductive effect and its position with respect to - COOH groups. Electron-donating substituents tend to decrease whereas electron -withdrawing substituents tend to increase the acidic strength. The acidic strength of the aromatic carboxylic acid, on the other hand depends upon both the inductive effect and the resonance effect of the substituents.
How can we express the (acidity constant) \(K_{ a }\) of RCOOH ?

Transition metals form a large number of complexes or coordination compounds in which the metal atoms are bound to a number of anions or neutral molecules. The valence bond theory explain the formation, magnetic behaviour and geometrical shapes while the crystal field theory explains the effect of different crystal fields on the degeneracy of d-orbitals energies of the central metal atom/ion. This provides for the quantitative estimation of orbital separation energies, magnetic moments and spectral and stability parameters.
Two complexes of nickel have same geometry but different magnetic behaviour are:
(A) \(\text{[Ni(CN)}_4]^{2-}\)
(B) \(\text{[Ni(CO)}_4]\)
(C) \(\text{[NiCl}_4]^{2-}\)
(D) \(\text{[Ni(NH}_3)_6]^{2+}\)
Choose the correct answer from the options given below :

Match List-I with List-II

List-I (Complex ion)	List-II (Hybridisation)
(A) \(\left[ CoF _6\right]^{3-}\)	(I) \(d^2 s p^3\)
(B) \(\left[ Co ( CN )_4\right]^{2-}\)	(II) \(s p^3 d^2\)
(C) \(\left[ FeCl _4\right]^{-}\)	(III) \(s p^3\)
(D)\(\left[ Co \left( C _2 O _4\right)_3\right]^{3-}\)	(IV) \(d s p^2\)

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Answer the question on the basis of passage given below :
All transition elements display typical metallic properties like high melting point, boiling point, tensile strength, high malleability and ductility, luster, etc. Their metallic character increases down the group and elements of 4d and 5d series exhibit higher metallic characters. They show variable oxidation states and forms a number of coloured compounds due to the presence of unpaired electrons which shows d-d transitions and makes them paramagnetic.
Which out of the following coordination compounds are colourless in nature?
A. \(\left[ Cr \left( NH _3\right)_6\right] Cl _3\)
B. \(\left[ Co \left( NH _3\right)_6\right] Br _3\)
C. \(K _3\left[ Fe ( CN )_6\right]\)
D. \(\left[ MnCl _2(e n)_2\right]^{+}\)
E. \(\left[ Ni ( CO )_4\right]\)
Choose the correct answer from the options given below :

Interstitial transition metal compounds
(A) have higher melting points than those of pure metals.
(B) have more reactivity than those of pure metals.
(C) are non-stoichiometric compounds.
(D) formed when small atoms like H, C or N are trapped inside the crystal lattice of the metals.
Choose the correct answer from the options given below:

Consider the LPP, with objective function optimize \(Z=2 x-y+5\) subject to constraints \(3 x+4 y \leq 60 ; x+3 y \leq 30 ; x, y \geq 0\). If the corner points of feasible region are \(A(0,10), B(12,6), C(20,0)\) and \(O(0,0)\), then match List I with List II:

LIST 1	LIST 2
Minimum value of Z	45
Maximum value of Z	50
The sum of minimum and maximum value of Z	-5
Maximum of Z - Minimum of Z	40

2.0 g of benzoic acid dissolved in 25 g of benzene shows a depression in freezing point of 1.62 K. Molal depression constant \(K_f\) of benzene is \(4.9\text{ K kg mol}^{-1}\). What is the percentage association of the acid?

Which of the following are NOT correct about "Sinking Fund"?
(A) It does not have any specific purpose.
(B) It can be used in any emergency.
(C) Any amount, any time can be deposited in it.
(D) It is set up for a particular upcoming expense.
Choose the correct answer from the options given below:

"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),
\(\Lambda_m = \kappa V\)
Molar conductance for 0.2 M AgCl solution showing resistance of 40 \(\Omega\) in a cell having distance between electrodes as 2 cm and surface area of 4 cm\(^2\) will be:"

Match List-l with List-ll
Let A and B be any two events

List-l	List-ll
(A) \(P \left( A ^{\prime}\right)\)	(I) \(\frac{P(A \cap B)}{P(A)} ; P(A) \neq 0\)
(B) \(P (\Phi)\)	(II) \(\frac{P(A \cap B)}{P(B)} ; P(B) \neq 0\)
(C) \(P ( A \mid B )\)	(III) \(1-P(A)\)
(D) \(P ( B \mid A )\)	(IV) \(0\)

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Which of the following will not respond to Fehling's Test?
(A) Benzaldehyde
(B) Acetone
(C) Acetaldehyde
(D) Acetophenone
Choose the correct answer from the options given below: