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Exam Details

IIT JEE 2011 PAPER 1 OFFLINE

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Questions 69
Duration 180 mins
Package IIT-JEE Advance - Previous Year Papers

Paper pattern & analysis

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Showing all 69 questions in this paper.

Subject distribution

Chemistry
23 Qs
Physics
23 Qs
Mathematics
23 Qs

Topic distribution

Mechanics
13 Qs
Algebra
13 Qs
Physical Chemistry
9 Qs
Electricity
8 Qs
Organic Chemistry
7 Qs
Inorganic Chemistry
7 Qs
Calculus
5 Qs
Coordinate Geometry
3 Qs
Modern Physics
2 Qs
Trigonometry
2 Qs

Subtopic distribution

Matrices And Determinants
4 Qs
Rotational Motion
3 Qs
Magnetism
3 Qs
Quadratic Equation And Inequalities
3 Qs
Simple Harmonic Motion
3 Qs
Salt Analysis
3 Qs
Electrostatics
3 Qs
Gaseous State
2 Qs
Laws Of Motion
2 Qs
Structure Of Atom
2 Qs
Trigonometric Functions And Equations
2 Qs
Aldehydes Ketones And Carboxylic Acids
2 Qs

Difficulty distribution

Medium 52 75.4%
Easy 14 20.3%
Hard 3 4.3%

Question type distribution

Multiple Choices 48 69.6%
Numerical Answer Type (NAT) 21 30.4%

Syllabus

Full Syllabus

Sample questions from this paper

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

1
2011 · Chemistry · Physical Chemistry · Gaseous State
IIT JEE 2011 PAPER 1 OFFLINE
To an evacuated vessel with movable piston under external pressure of 1 atm, 0.1 mol of He and 1.0 mol of an unknown compound (vapour pressure 0.68 atm, at 0oC) are introduced. Considering the ideal gas behaviour, the total volume (in litre) of the gases at 0oC is close to
Enter a numerical response
2
2011 · Physics · Modern Physics · Dual Nature Of Radiation
IIT JEE 2011 PAPER 1 OFFLINE

The activity of a freshly prepared radioactive sample is 1010 disintegrations per second, whose mean life is 109 s. The mass of an atom of this radioisotope is 10\(-\)25 kg. The mass (in mg) of the radioactive sample is _________.

Enter a numerical response
3
2011 · Mathematics · Algebra · Sequences And Series
IIT JEE 2011 PAPER 1 OFFLINE
Let \({{a_1}}\), \({{a_2}}\), \({{a_3}}\)........ \({{a_{100}}}\) be an arithmetic progression with \({{a_1}}\) = 3 and \({S_p} = \sum\limits_{i = 1}^p {{a_i},1 \le } \,p\, \le 100\). For any integer n with \(1\,\, \le \,n\, \le 20\), let m = 5n. If \({{{S_m}} \over {{S_n}}}\) does not depend on n, then \({a_{2\,}}\) is
Enter a numerical response
4
2011 · Chemistry · Physical Chemistry · Redox Reactions
IIT JEE 2011 PAPER 1 OFFLINE
The difference in the oxidation numbers of the two types of sulphur atoms in Na2S4O6 is
Enter a numerical response
5
2011 · Physics · Mechanics · Rotational Motion
IIT JEE 2011 PAPER 1 OFFLINE

A metal rod of length L and mass m is pivoted at one end. A thin disk of mass M and radius R ( < L) is attached at its centre to the free end of the rod. Consider two ways the disc is attached : (case A). The disc is not free to rotate about its centre and (case B) the disc is free to rotate about its centre. The rod-disc system performs SHM in vertical plane after being released from the same displaced position. Which of the following statement(s) is(are) true?

IIT-JEE 2011 Paper 1 Offline Physics - Rotational Motion Question 35 English

A
Restoring torque in case A = Restoring torque in case B.
B
Restoring torque in case A < Restoring torque in case B.
C
Angular frequency for case A > Angular frequency for case B.
D
Angular frequency for case A < Angular frequency for case B.
6
2011 · Mathematics · Coordinate Geometry · Parabola
IIT JEE 2011 PAPER 1 OFFLINE
Consider the parabola \({y^2} = 8x\). Let \({\Delta _1}\) be the area of the triangle formed by the end points of its latus rectum and the point \(P\left( {{1 \over 2},2} \right)\) on the parabola and \({\Delta _2}\) be the area of the triangle formed by drawing tangents at \(P\) and at the end points of the latus rectum. Then \({{{\Delta _1}} \over {{\Delta _2}}}\) is
Enter a numerical response