Number of moles and number of molecules in 1.4187 L of SO\(_2\) at STP respectively are

• (A) \(0.1266; 3.812 \times 10^{22}\)
• (B) \(0.0633; 3.812 \times 10^{22}\)
• (C) \(0.1266; 7.6238 \times 10^{22}\)
• (D) \(0.0633; 7.6238 \times 10^{22}\)

What is the ratio of wave number of first line (lowest energy line) of Balmer series of H atomic spectrum to first line of its Brackett series?

• (A) 5:1
• (B) 5:0.81
• (C) 5:1.75
• (D) None of the above

Which of the following is correct set of 4 quantum numbers of \(19^{th}\) electron in Chromium (Atomic number = 24) in accordance with Aufbau principle?

• (A) \(n = 3, l = 2, m = +2, s = +\frac{1}{2}\)
• (B) \(n = 3, l = 2, m = -2, s = +\frac{1}{2}\)
• (C) \(n = 4, l = 1, m = 0, s = +\frac{1}{2}\)
• (D) \(n = 4, l = 0, m = 0, s = +\frac{1}{2}\)

Given below are two statements:

Statement I:For an ideal gas, heat capacity at constant volume is always greater than the heat capacity at constant pressure.

Statement II: In a constant volume process, no work is produced and all the heat withdrawn goes into the chaotic motion and is reflected by a temperature increase of the ideal gas.

In the light of the above statements, choose the correct answer from the options given below

• (A) Both Statement I and Statement II are true
• (B) Both Statement I and Statement II are false
• (C) Statement I is true but Statement II is false
• (D) Statement I is false but Statement II is true

At T(K), the equilibrium constant of \(A_2(g) + B_2(g) \rightleftharpoons C(g)\) is \(2.7 \times 10^{-5}\). What is the equilibrium constant for \(\frac{1}{3}A_2(g) + \frac{1}{3}B_2(g) \rightleftharpoons \frac{1}{3}C(g)\) at the same temperature?

• (A) \((2.7 \times 10^{-5})^3\)
• (B) \(6 \times 10^{-2}\)
• (C) \(\sqrt{2.7 \times 10^{-5}}\)
• (D) \(3 \times 10^{-2}\)

In order to oxidise a mixture of 1 mole each of \(FeC_2O_4, Fe_2(C_2O_4)_3, FeSO_4\) and \(Fe_2(SO_4)_3\) in acidic medium, the number of moles of \(KMnO_4\) required is

• (A) 3
• (B) 2
• (C) 5
• (D) 7

Consider the first order reaction \(R \to P\). The fraction of molecules decomposed in the given first order reaction can be expressed as

• (A) \(1 - e^{kt}\)
• (B) \(1 + e^{kt}\)
• (C) \(1 + e^{-k_1t}\)
• (D) \(1 - e^{-k_1t}\)

A monoatomic anion (A\(^-\)) has 45 neutrons and 36 electrons. Atomic mass, group in the periodic table and physical state at room temperature of the element (A) respectively are

• (A) 80, 17, liquid
• (B) 81, 16, solid
• (C) 80, 16, gas
• (D) 81, 15, gas

Given below are two statements:

Statement I: The covalency of oxygen is generally two but it can exceed upto four. The oxidation state of oxygen in \(SO_2\) is -2 and in \(OF_2\) it is +2.

Statement II: The anomalous behaviour of oxygen when compared to the other elements of group 16 is due to its small size and high electronegativity.

In the light of the above statements, choose the \textit{correct answer from the options given below

• (A) Both Statement I and Statement II are true
• (B) Both Statement I and Statement II are false
• (C) Statement I is true but Statement II is false
• (D) Statement I is false but Statement II is true

The correct statements among the following are,

A. \(Mo(VI)\) and \(W(VI)\) are less stable than \(Cr(VI)\).

B. \(Ce^{4+}\) and \(Tb^{4+}\) are oxidant while \(Eu^{2+}\) and \(Yb^{2+}\) are reductant.

C. \(Cm\) and \(Am\) have seven unpaired electrons.

D. Actinoid contraction is greater from element to element than lanthanoid contraction.

Choose the correct answer from the options given below:

• (A) A and B Only
• (B) C and D Only
• (C) B and D Only
• (D) A and C Only

The correct statements among the following are

A. Potassium dichromate is an oxidising agent and it oxidises \(FeSO_4\) to \(Fe_2(SO_4)_3\) in acidic medium.

B. Sodium dichromate can be used as primary standard in volumetric estimation.

C. \(CrO_4^{2-}\) and \(Cr_2O_7^{2-}\) are interconvertible in aqueous solution by varying the pH of the solution.

D. Cr-O-Cr bond angle in \(Cr_2O_7^{2-}\) is \(126^\circ\).

Choose the correct answer from the options given below:

• (A) A, B and C Only
• (B) A, C and D Only
• (C) A and C Only
• (D) B and D Only

Match the LIST-I with LIST-II



Choose the correct answer from the options given below:

• (A) A-I, B-III, C-IV, D-II
• (B) A-II, B-I, C-III, D-IV
• (C) A-IV, B-II, C-I, D-III
• (D) A-III, B-I, C-IV, D-II

Increasing order of electron withdrawing power of following functional groups is:

a. \(-CN\)

b. \(-COOH\)

c. \(-NO_2\)

d. \(-I\)

• (A) \(c < b < d < a\)
• (B) \(c < a < b < d\)
• (C) \(d < b < a < c\)
• (D) \(a < b < c < d\)

An alkene (X) on ozonolysis followed by reduction gives following products.



The alkene (X) is:

• (A)
• (B)
• (C)
• (D)

Match the LIST-I with LIST-II



Choose the correct answer from the options given below:

• (A) A-I, B-IV, C-III, D-II
• (B) A-III, B-I, C-IV, D-II
• (C) A-IV, B-II, C-I, D-III
• (D) A-I, B-III, C-II, D-IV

Amongst the following, the total number of compounds soluble in aqueous NaOH at room temperature is:

• (A) 5
• (B) 6
• (C) 4
• (D) 3

Product C of the following reaction sequence will be

• (A) 1-Bromo-4-nitrobenzene
• (B) 1, 3, 5-Tribromo-2-nitrobenzene
• (C) 4-Bromo-1-nitrobenzene
• (D) 1, 3, 5-Tribromobenzene

Given below are two statements:

Statement I:The structure of Maltose is given below:

Maltose is a non-reducing sugar.



Statement II: The structure of Lactose is given below:

Lactose is a reducing sugar.



In the light of the above statements, choose the correct answer from the options given below

• (A) Both Statement I and Statement II are true
• (B) Both Statement I and Statement II are false
• (C) Statement I is true but Statement II is false
• (D) Statement I is false but Statement II is true

Match the LIST-I with LIST-II



Choose the correct answer from the options given below:

• (A) A-II, B-I, C-IV, D-III
• (B) A-IV, B-III, C-II, D-I
• (C) A-III, B-IV, C-I, D-II
• (D) A-II, B-IV, C-I, D-III

Identify the colour of compound 'X' in the sequence of the reaction.

• (A) Violet
• (B) Green
• (C) Red
• (D) Colourless

According to Lewis theory, the total number of \(\sigma\) bond-pairs and lone pair of electrons around the central atom of \(XeO_6^{4-}\) ion is __________.

Consider the following sequence of reactions to give the major product (X)



P g of the major product (X) formed is reacted with \(NaHCO_3\) solution to liberate a gas which occupied \(11.2 dm^3\) at STP.

P = __________ g.

(Given molar mass in \(g mol^{-1}\) H:1, C:12, O:16, Cl:35.5)

2.0 g of a bromo hydrocarbon (X) was subjected to Carius analysis, gave 3.36 g of AgBr. The percentage of carbon in the compound (X) is 26.7%. Total number of carbon atoms in the empirical formula for compound (X) is __________.

(Given molar mass in \(g mol^{-1}\) H:1, C:12, Br:80, Ag:108)

The pH of a solution obtained by mixing \(5 mL\) of \(0.1 M NH_4OH\) solution with \(250 mL\) of \(0.1 M NH_4Cl\) solution is __________ \(\times 10^{-2}\). (Nearest integer)

Given: \(pK_b(NH_4OH) = 4.74\)
\(\log 2 = 0.30\)
\(\log 3 = 0.48\)
\(\log 5 = 0.70\)

A non-volatile, non-electrolyte solid solute when dissolved in \(40 g\) of a solvent, the vapour pressure of the solvent decreased from \(760 mm Hg\) to \(750 mm Hg\). If the same solution boils at \(320 K\), then the number of moles of the solvent present in the solution is __________. (Nearest integer)
\([Given: boiling point of the pure solvent = 319.5 K, K_b of the solvent = 0.3 K kg mol^{-1}]\)