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Exam Details

JEE ADVANCED 2016 PAPER 1 OFFLINE

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Questions 54
Duration 180 mins
Package IIT-JEE Advance - Previous Year Papers

Paper pattern & analysis

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Showing all 54 questions in this paper.

Subject distribution

Physics
18 Qs
Chemistry
18 Qs
Mathematics
18 Qs

Topic distribution

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

Subtopic distribution

Atoms And Nuclei
3 Qs
Matrices And Determinants
3 Qs
Geometrical Optics
3 Qs
P Block Elements
2 Qs
Heat And Thermodynamics
2 Qs
Electromagnetic Induction
2 Qs
Coordination Compounds
2 Qs
Rotational Motion
2 Qs
Current Electricity
2 Qs
Chemical Kinetics And Nuclear Chemistry
2 Qs
Aldehydes Ketones And Carboxylic Acids
2 Qs
Differential Equations
2 Qs

Difficulty distribution

Medium 40 74.1%
Hard 9 16.7%
Easy 5 9.3%

Question type distribution

Multiple Choices 39 72.2%
Numerical Answer Type (NAT) 15 27.8%

Syllabus

Full Syllabus

Sample questions from this paper

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

1
2016 · Physics · Mechanics · Properties Of Matter
JEE ADVANCED 2016 PAPER 1 OFFLINE
Consider two solid spheres P and Q each of density 8 gm cm–3 and diameters 1 cm and 0.5 cm, respectively. Sphere P is dropped into a liquid of density 0.8 gm cm–3 and viscosity \(\eta\) = 3 poiseulles. Sphere Q is dropped into a liquid of density 1.6 gm cm–3 and viscosity \(\eta\) = 2 poiseulles. The ratio of the terminal velocities of P and Q is
Enter a numerical response
2
2016 · Chemistry · Inorganic Chemistry · P Block Elements
JEE ADVANCED 2016 PAPER 1 OFFLINE

The increasing order of atomic radii of the following group 13 elements is

A
Al < Ga < In < Tl
B
Ga < Al < In < Tl
C
Al < In < Ga < Tl
D
Al < Ga < Tl < In
3
2016 · Mathematics · Algebra · Matrices And Determinants
JEE ADVANCED 2016 PAPER 1 OFFLINE

The total number of distinct x \(\in\) R for which

\(\left| {\matrix{ x & {{x^2}} & {1 + {x^3}} \cr {2x} & {4{x^2}} & {1 + 8{x^3}} \cr {3x} & {9{x^2}} & {1 + 27{x^3}} \cr } } \right| = 10\) is ______________.

Enter a numerical response
4
2016 · Physics · Mechanics · Heat And Thermodynamics
JEE ADVANCED 2016 PAPER 1 OFFLINE
A metal is heated in a furnace where a sensor is kept above the metal surface to read the power radiated (P) by the metal. The sensor has a scale that displays \({\log _2}\left( {{P \over {{P_0}}}} \right)\), where P0 is a constant. When the metal surface is at a temperature of 487oC, the sensor shows a value 1. Assume that the emissivity of the metallic surface remains constant. What is the value displayed by the sensor when the temperature of the metal surface is raised to 2767oC?
Enter a numerical response
5
2016 · Chemistry · Physical Chemistry · Gaseous State
JEE ADVANCED 2016 PAPER 1 OFFLINE
The diffusion coefficient of an ideal gas is proportional to its mean free path and mean speed. The absolute temperature of an ideal gas is increased 4 times and its pressure is increased 2 times. As a result, the diffusion coefficient of this gas increases x times. The value of x is ___________:
Enter a numerical response
6
2016 · Mathematics · Algebra · Matrices And Determinants
JEE ADVANCED 2016 PAPER 1 OFFLINE

Let \(z = {{ - 1 + \sqrt 3 i} \over 2}\), where \(i = \sqrt { - 1}\), and r, s \(\in\) {1, 2, 3}. Let \(P = \left[ {\matrix{ {{{( - z)}^r}} & {{z^{2s}}} \cr {{z^{2s}}} & {{z^r}} \cr } } \right]\) and I be the identity matrix of order 2. Then the total number of ordered pairs (r, s) for which P2 = \(-\)I is ____________.

Enter a numerical response