Exam Details
JEE ADVANCED 2019 PAPER 1 OFFLINE
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Questions
54
Duration
180 mins
Package
IIT-JEE Advance - Previous Year Papers
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Subtopic distribution
Difficulty distribution
54questions
Medium
33
61.1%
Hard
17
31.5%
Easy
4
7.4%
Question type distribution
54questions
Multiple Choices
36
66.7%
Numerical Answer Type (NAT)
18
33.3%
Syllabus
Full Syllabus
Sample questions from this paper
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2019 · Physics · Electricity · Capacitor
JEE ADVANCED 2019 PAPER 1 OFFLINE
A parallel plate capacitor of capacitance C has spacing d between two plates having area A. The region between the plates is filled with N dielectric layers, parallel to its plates, each with thickness, \(\delta = {d \over N}\). The dielectric constant of the mth layer is \({K_m} = K\left( {1 + {m \over N}} \right)\). For a very large N(>103), the capacitance C is \(\alpha \left( {{{K{\varepsilon _0}A} \over {d\ln 2}}} \right)\)
The value of \(\alpha\) will be ..................
[\(\in\)0 is the permittivity of free space.]
The value of \(\alpha\) will be ..................
[\(\in\)0 is the permittivity of free space.]
Enter a numerical response
2019 · Chemistry · Physical Chemistry · Chemical Equilibrium
JEE ADVANCED 2019 PAPER 1 OFFLINE
For the following reaction, the equilibrium constant Kc at 298 K is 1.6 \(\times\) 1017.
Fe2+(aq) + S2-(aq) ⇌ FeS(s)
When equal volumes of
0.06 M Fe2+(aq) and 0.2 M S2\(-\)(aq)
solutions are mixed, the equilibrium concentration of Fe2+(aq) is found by Y \(\times\) 10\(-\)17 M. The value of Y is .................
Fe2+(aq) + S2-(aq) ⇌ FeS(s)
When equal volumes of
0.06 M Fe2+(aq) and 0.2 M S2\(-\)(aq)
solutions are mixed, the equilibrium concentration of Fe2+(aq) is found by Y \(\times\) 10\(-\)17 M. The value of Y is .................
Enter a numerical response
2019 · Mathematics · Coordinate Geometry · Circle
JEE ADVANCED 2019 PAPER 1 OFFLINE
A line y = mx + 1 intersects the circle \({(x - 3)^2} + {(y + 2)^2}\) = 25 at the points P and Q. If the midpoint of the line segment PQ has x-coordinate \(- {3 \over 5}\), then which one of the following options is correct?
2019 · Physics · Mechanics · Properties Of Matter
JEE ADVANCED 2019 PAPER 1 OFFLINE
A liquid at 30\(^\circ\)C is poured very slowly into a Calorimeter that is at temperature of 110\(^\circ\)C. The boiling temperature of the liquid is 80\(^\circ\)C. It is found that the first 5 gm of the liquid completely evaporates. After pouring another 80 gm of the liquid the equilibrium temperature is found to be 50\(^\circ\)C. The ratio of the latent heat of the liquid to its specific heat will be ...........\(^\circ\)C.
[Neglect the heat exchange with surrounding]
[Neglect the heat exchange with surrounding]
Enter a numerical response
2019 · Chemistry · Physical Chemistry · Solutions
JEE ADVANCED 2019 PAPER 1 OFFLINE
On dissolving 0.5 g of a non-volatile non-ionic solute to 39 g of benzene, its vapor pressure decreases from 650 mmHg to 640 mmHg. The depression of freezing point of benzene (in K) upon addition of the solute is .............
(Given data: Molar mass and the molal freezing point depression constant of benzene are 78 g mol-1 and 5.12 K kg mol-1, respectively).
(Given data: Molar mass and the molal freezing point depression constant of benzene are 78 g mol-1 and 5.12 K kg mol-1, respectively).
Enter a numerical response
2019 · Mathematics · Algebra · Sequences And Series
JEE ADVANCED 2019 PAPER 1 OFFLINE
Let AP(a; d) denote the set of all the terms of an infinite arithmetic progression with first term a and common difference d > 0. If \(AP(1;3) \cap AP(2;5) \cap AP(3;7)\) = AP(a ; d), then a + d equals ..............
Enter a numerical response