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Exam Details

IIT JEE 2012 PAPER 2 OFFLINE

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Questions 60
Duration 180 mins
Package IIT-JEE Advance - Previous Year Papers

Paper pattern & analysis

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Showing all 60 questions in this paper.

Subject distribution

Physics
20 Qs
Chemistry
20 Qs
Mathematics
20 Qs

Topic distribution

Algebra
11 Qs
Mechanics
10 Qs
Inorganic Chemistry
8 Qs
Electricity
6 Qs
Physical Chemistry
6 Qs
Calculus
6 Qs
Organic Chemistry
5 Qs
Modern Physics
2 Qs
Coordinate Geometry
2 Qs
Optics
2 Qs
Trigonometry
1 Qs
Organic Chemistry
1 Qs

Subtopic distribution

Rotational Motion
6 Qs
Aldehydes Ketones And Carboxylic Acids
5 Qs
P Block Elements
4 Qs
Application Of Derivatives
3 Qs
Magnetism
2 Qs
Atoms And Nuclei
2 Qs
Thermodynamics
2 Qs
Electrochemistry
2 Qs
Permutations And Combinations
2 Qs
Matrices And Determinants
2 Qs
Probability
2 Qs
3D Geometry
2 Qs

Difficulty distribution

Medium 37 61.7%
Easy 16 26.7%
Hard 7 11.7%

Question type distribution

Multiple Choices 60 100%

Syllabus

Full Syllabus

Sample questions from this paper

Questions are selected across the paper subjects wherever the paper contains that variety.

1
2012 · Physics · Mechanics · Rotational Motion
IIT JEE 2012 PAPER 2 OFFLINE

Which of the following statements about the instantaneous axis (passing through the centre of mass) is correct?

A
It is vertical for both Cases (a) and (b).
B
It is vertical for Case (a); and is at 45\(^\circ\) to the xz-plane and lies in the plane of the disc for Case (b).
C
It is horizontal for Case (a); and is 45\(^\circ\) to the xz-plane and is normal to the plane of the disc for Case (b).
D
It is vertical for Case (a); and is 45\(^\circ\) to the xz-plane and is normal to the plane of the disc for Case (b).
2
2012 · Chemistry · Physical Chemistry · Solutions
IIT JEE 2012 PAPER 2 OFFLINE
For a dilute solution containing 2.5 g of a non-volatile non-electrolyte solute in 100 g of water. the elevation in boiling point at 1 atm pressure is 2oC. Assuming concentration of solute is much lower than the concentration of solvent, the vapour pressure (mm of Hg) of the solution is (take Kb = 0.76 K Kg mol-1)
A
724
B
780
C
736
D
718
3
2012 · Mathematics · Algebra · Permutations And Combinations
IIT JEE 2012 PAPER 2 OFFLINE
Let \({{a_n}}\) denote the number of all n-digit positive integers formed by the digits 0, 1 or both such that no consecutive digits in them are 0.Let \({{b_n}}\) = the number of such n-digit integers ending with digit 1 and \({{c_n}}\) =the number of such n-digit integers ending with digit 0.

The value of \({{b_6}}\) is

A
7
B
8
C
9
D
11
4
2012 · Physics · Mechanics · Rotational Motion
IIT JEE 2012 PAPER 2 OFFLINE
Two identical discs of same radius R are rotating about their axes in opposite directions with the same constant angular speed \(\omega\). The discs are in the same horizontal plane. At time t = 0, the points P and Q are facing each other as shown in the figure. The relative speed between the two points P and Q is vr. In one time period (T) of rotation of the discs, vr as a function of time is best represented by
IIT-JEE 2012 Paper 2 Offline Physics - Rotational Motion Question 72 English
A
IIT-JEE 2012 Paper 2 Offline Physics - Rotational Motion Question 72 English Option 1
B
IIT-JEE 2012 Paper 2 Offline Physics - Rotational Motion Question 72 English Option 2
C
IIT-JEE 2012 Paper 2 Offline Physics - Rotational Motion Question 72 English Option 3
D
IIT-JEE 2012 Paper 2 Offline Physics - Rotational Motion Question 72 English Option 4
5
2012 · Chemistry · Physical Chemistry · Thermodynamics
IIT JEE 2012 PAPER 2 OFFLINE

Using the data provided, calculate the multiple bond energy (kJ mol\(-\)1) of a C=C bond in C2H2. That energy is (take the bond energy of C-H bond as 350 kJ mol\(-\)1).

$$\matrix{ \hfill {2C(s) + {H_2}(g) \to {C_2}{H_2}} & \hfill {\Delta H = 225\,kJ\,mo{l^{ - 1}}} \cr \hfill {2C(s) \to 2C(g)} & \hfill {\Delta H = 1410\,kJ\,mo{l^{ - 1}}} \cr \hfill {{H_2}(g) \to 2H(g)} & \hfill {\Delta H = 330\,kJ\,mo{l^{ - 1}}} \cr }$$

A
1165 kJ mol\(-\)1
B
837 kJ mol\(-\)1
C
865 kJ mol\(-\)1
D
815 kJ mol\(-\)1
6
2012 · Mathematics · Algebra · Sequences And Series
IIT JEE 2012 PAPER 2 OFFLINE
Let \({a_1},{a_2},{a_3},.....\) be in harmonic progression with \({a_1} = 5\) and \({a_{20}} = 25.\) The least positive integer \(n\) for which \({a_n} < 0\) is
A
22
B
23
C
24
D
25