The half-life of a first order reaction is \(25\text{ minutes}\). Its rate constant is:

Match List I with List II

LIST - I	LIST - II
A. \(\left( CH _3\right)_3 N, CH _3 CH _2 CH _2 NH _2\)	I. Tollen's test
B. \(HCOOH , CH _3 COOH\)	II. Lucas test
C. \(CH _3- C (= O )- CH _2- CH _2- CH _3, CH _3- CH _2- C (= O )- CH _2-CH _3\)	III. Carbylamine test
D. \(CH _3- CH _2- CH _2- CH _2- OH , CH _3- C \left( CH _3\right)( OH )- CH _3\)	IV. lodoform test

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Given below are reduction potentials :
(A) \(E _{ Cu ^{2+} / Cu }^0=0.34 V\)
(B) \(E _{ Sn ^{2+} / Sn }^0=-0.14 V\)
(C) \(E _{ Zn ^{2+} / Zn }^0=-0.76 V\)
(D) \(E _{ K ^{+} / K }^0=-2.93 V\)
The strongest reducing agent from the above is :

Match List-l with List-II

List-l (Order of reaction)	List-II (Expressions/Unit)
(A) Unit of zero order	(I) \(k t=[ R ]_0-[ R ]_t\)
(B) Unit of First order	(II) \(mol L ^{-1} s^{-1}\)
(C) Integrated Rate Law for zero order	(III) \(s^{-1}\)
(D) Integrated Rate Law for First order	(IV) \([ R ]=[ R ]_0 e^{-k t}\)

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Read the passage carefully and answer the questions
The chemical reactions proceed at different rates which depend on various factors like concentration, temperature, etc. Rate law is an expression which relates the rate of reaction with concentration of various reacting species in the reaction. For a first order reaction, the concentration of the reactant after time \(t\) is related with its initial concentration by the relation, \(C=C_0 e^{-k t}\). The rate constants for different orders have different expressions. For a first order reaction, \(k=\frac{2.303}{t} \log \frac{a}{a-x}\), where \(a\) is the initial concentration and \(x\) is the extent of reaction.
A reaction which is first order with respect to the reactant \(A\) has a rate constant of \(6 min^{-1}\). If the reaction is started with \([A]=5.0 mol L ^{-1}\) when would \([A]\) reach the value of \(0.05 mol L ^{-1}\)

Read the Passage carefully and answer the questions
When a ligand is bound to a metal ion through a single donor atom, it is said to be a unidentate ligand but when it bind through two donor atoms, then it is said to be didentate ligand and when several donor atoms are present in a single ligand, it is said to be a polydentate ligand. When a di- or polydentate ligand uses its two or more donor atoms simultaneously to bind a single metal ion, it is said to be a chelate ligand. The number of such ligating groups is called the denticity of the ligand. ligand which has two different donor atoms and either of the two ligetes in the complex is called ambidentate ligands. The number of ligand donor atoms to which the metal is directly bonded, is called coordination number of the metal ion in the complex. Complexes in which a metal is bound to only one kind of donor groups are known as homoleptic and in which a metal is bound to more than one kind of donor groups are known as heteroleptic complexes.
To make an octahesral complex of \(Mg ^{2+}\) ion, how many molecules of \(EDTA\) are used?

Match List - I with List - II.

List - I	List - II
A. Simple and face centred cubic	I. \(\text{a} = \text{b} = \text{c}\)
B. Cubic and rhombohedral	II. \(\alpha = \beta = \gamma = 90°\)
C. Cubic and tetragonal	III. have only two crystallographic angle of \(90°\)
D. Hexagonal and monoclinic	IV. belong to the same crystalline system

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Observe the given figures and answer the question

The conditions created by Miller in his experiment were:

A charge q moving with velocity \( \vec{v} \) in a magnetic field \( \vec{B} \) experiences a force \( \vec{F} \). Which pair of quantities are mutually perpendicular?
A. \( \vec{F} \) & \( \vec{v} \)
B. \( \vec{F} \) & \( \vec{B} \)
C. \( \vec{v} \) & \( \vec{B} \)
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The relation below correctly represents the frequency of light emitted when an electron in a hydrogen atom jumps from a higher \( (n_i) \) energy level to \( (n_f) \) a lower energy level: \( \nu = Rc \left( \frac{1}{n_f^2} - \frac{1}{n_i^2} \right) \). Predict the values of \( n_i, n_f \), respectively for the Paschen series, which will give the highest wavelength in the series

\(\text{If} A \text{ and } B \text{ are independent events with }P(A)=0.8 \text{ and } P(B)=0.4,\text{ then the value of } P(A\cup B) \text{ is: \)

Evaluate \(: 3^{15} \bmod (7)\)

Identify the mammals which live wholly in water:
A. Dolphins
B. Seals
C. Sea Horse
D. Sea cow
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