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Exam Details

IIT JEE 2007 PAPER 1 OFFLINE

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Questions 66
Duration 180 mins
Package IIT-JEE Advance - Previous Year Papers

Paper pattern & analysis

Filter this paper by subject, topic or subtopic. Every graph updates from the selected questions.

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Showing all 66 questions in this paper.

Subject distribution

Physics
22 Qs
Chemistry
22 Qs
Mathematics
22 Qs

Topic distribution

Mechanics
10 Qs
Inorganic Chemistry
9 Qs
Algebra
9 Qs
Coordinate Geometry
7 Qs
Physical Chemistry
6 Qs
Electricity
5 Qs
Modern Physics
4 Qs
Organic Chemistry
4 Qs
Optics
3 Qs
Trigonometry
2 Qs
Calculus
2 Qs
Calculus
2 Qs

Subtopic distribution

P Block Elements
5 Qs
Parabola
4 Qs
Rotational Motion
3 Qs
Electrochemistry
3 Qs
Geometrical Optics
3 Qs
Chemical Bonding And Molecular Structure
3 Qs
Sequences And Series
3 Qs
Heat And Thermodynamics
2 Qs
Capacitor
2 Qs
Atoms And Nuclei
2 Qs
Dual Nature Of Radiation
2 Qs
Hydrocarbons
2 Qs

Difficulty distribution

Not classified 66 100%

Question type distribution

Multiple Choices 66 100%

Syllabus

Full Syllabus

Sample questions from this paper

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

1
2007 · Physics · Mechanics · Motion
IIT JEE 2007 PAPER 1 OFFLINE

While the piston is at a distance 2L from the top, the hole at the top is sealed. The piston is then released, to a position where it can stay in equilibrium. In this condition, the distance of the piston from the top is :

A
\(\left( {{{2{P_0}\pi {R^2}} \over {\pi {R^2}{P_0} + Mg}}} \right)(2L)\)
B
\(\left( {{{{P_0}\pi {R^2} - Mg} \over {\pi {R^2}{P_0}}}} \right)(2L)\)
C
\(\left( {{{{P_0}\pi {R^2} + Mg} \over {\pi {R^2}{P_0}}}} \right)(2L)\)
D
\(\left( {{{{P_0}\pi {R^2}} \over {\pi {R^2}{P_0} - Mg}}} \right)(2L)\)
2
2007 · Chemistry · Physical Chemistry · Electrochemistry
IIT JEE 2007 PAPER 1 OFFLINE

The total number of moles of chlorine gas evolved is :

A
0.5
B
1.0
C
2.0
D
3.0
3
2007 · Mathematics · Algebra · Quadratic Equation And Inequalities
IIT JEE 2007 PAPER 1 OFFLINE

Let \(\alpha,\beta\) be the roots of the equation \(x^2-px+r=0\) and \(\frac{\alpha}{2},2\beta\) be the roots of the equation \(x^2-qx+r=0\). Then the value of r is

A
\(\frac{2}{9}(p-q)(2q-p)\)
B
\(\frac{2}{9}(q-p)(2p-q)\)
C
\(\frac{2}{9}(q-2p)(2q-p)\)
D
\(\frac{2}{9}(2p-q)(2q-p)\)
4
2007 · Physics · Mechanics · Laws Of Motion
IIT JEE 2007 PAPER 1 OFFLINE

Two particles of mass m each are tied at the ends of a light string of length 2a. The whole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance 'a' form the centre P (as shown in the figure). Now, the mid-point of the string is pulled vertically upwards with a small but constant force F. As a result, the particles move towards each other on the surface. The magnitude of acceleration, with the separation between them becomes 2x, is

IIT-JEE 2007 Paper 1 Offline Physics - Laws of Motion Question 9 English

A
\({F \over {2m}}{a \over {\sqrt {{a^2} - {x^2}} }}\)
B
\({F \over {2m}}{x \over {\sqrt {{a^2} - {x^2}} }}\)
C
\({F \over {2m}}{x \over a}\)
D
\({F \over {2m}}{{\sqrt {{a^2} - {x^2}} } \over x}\)
5
2007 · Chemistry · Physical Chemistry · Electrochemistry
IIT JEE 2007 PAPER 1 OFFLINE

If the cathode is a Hg electrode, the maximum weight (g) of amalgam formed from this solution is:

A
200
B
225
C
400
D
446
6
2007 · Mathematics · Algebra · Sequences And Series
IIT JEE 2007 PAPER 1 OFFLINE

The sum V\(_1\) + V\(_2\) + ... + V\(_n\) is

A
\({1 \over {12}}n(n + 1)(3{n^2} - n + 1)\)
B
\({1 \over {12}}n(n + 1)(3{n^2} + n + 2)\)
C
\({1 \over 2}n(2{n^2} - n + 1)\)
D
\({1 \over 3}(2{n^3} - 2n + 3)\)