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JEE ADVANCED 2020 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
39
72.2%
Hard
10
18.5%
Easy
5
9.3%
Question type distribution
54questions
Multiple Choices
36
66.7%
Numerical Answer Type (NAT)
18
33.3%
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Sample questions from this paper
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2020 · Physics · Mechanics · Heat And Thermodynamics
JEE ADVANCED 2020 PAPER 1 OFFLINE
Consider one mole of helium gas enclosed in a container at initial pressure P1 and volume V1. It
expands isothermally to volume 4V1. After this, the gas expands adiabatically and its volume becomes
32V1. The work done by the gas during isothermal and adiabatic expansion processes are Wiso and
Wadia, respectively. If the ratio \({{{W_{iso}}} \over {{W_{adia}}}}\) = f ln 2, then f is ______.
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2020 · Chemistry · Physical Chemistry · Chemical Equilibrium
JEE ADVANCED 2020 PAPER 1 OFFLINE
Consider the reaction,
A \(\rightleftharpoons\) B
at 1000 K. At time t', the temperature of the system was increased to 2000 K and the system was allowed to reach equilibrium. Throughout this experiment the partial pressure of A was maintained at 1 bar. Given, below is the plot of the partial pressure of B with time. What is the ratio of the standard Gibbs energy of the reaction at 1000 K to that at 2000 K?
A \(\rightleftharpoons\) B
at 1000 K. At time t', the temperature of the system was increased to 2000 K and the system was allowed to reach equilibrium. Throughout this experiment the partial pressure of A was maintained at 1 bar. Given, below is the plot of the partial pressure of B with time. What is the ratio of the standard Gibbs energy of the reaction at 1000 K to that at 2000 K?
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2020 · Mathematics · Calculus · Functions
JEE ADVANCED 2020 PAPER 1 OFFLINE
For a polynomial g(x) with real coefficients, let mg denote the number of distinct real roots of g(x). Suppose S is the set of polynomials with real coefficients defined by
\(S = \{ {({x^2} - 1)^2}({a_0} + {a_1}x + {a_2}{x^2} + {a_3}{x^3}):{a_0},{a_1},{a_2},{a_3} \in R\}\);
For a polynomial f, let f' and f'' denote its first and second order derivatives, respectively. Then the minimum possible value of (mf' + mf''), where f \(\in\) S, is ..............
\(S = \{ {({x^2} - 1)^2}({a_0} + {a_1}x + {a_2}{x^2} + {a_3}{x^3}):{a_0},{a_1},{a_2},{a_3} \in R\}\);
For a polynomial f, let f' and f'' denote its first and second order derivatives, respectively. Then the minimum possible value of (mf' + mf''), where f \(\in\) S, is ..............
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2020 · Physics · Mechanics · Laws Of Motion
JEE ADVANCED 2020 PAPER 1 OFFLINE
Put a uniform meter scale horizontally on your extended index fingers with the left one at 0.00 cm
and the right one at 90.00 cm. When you attempt to move both the fingers slowly towards the center,
initially only the left finger slips with respect to the scale and the right finger does not. After some
distance, the left finger stops and the right one starts slipping. Then the right finger stops at a distance
xR from the center (50.00 cm) of the scale and the left one starts slipping again. This happens
because of the difference in the frictional forces on the two fingers. If the coefficients of static and
dynamic friction between the fingers and the scale are 0.40 and 0.32, respectively, the value of xR (in
cm) is ______.
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2020 · Chemistry · Physical Chemistry · Some Basic Concepts Of Chemistry
JEE ADVANCED 2020 PAPER 1 OFFLINE
5.00 mL of 0.10 M oxalic acid solution taken in a conical flask is titrated against NaOH from a burette using phenolphthalein indicator. The volume of NaOH required for the appearance of permanent faint pink color is tabulated below for five experiments. What is the concentration, in molarity, of the NaOH solution?
| Exp. No. | Vol. of NaOH (mL) |
|---|---|
| 1 | 12.5 |
| 2 | 10.5 |
| 3 | 9.0 |
| 4 | 9.0 |
| 5 | 9.0 |
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2020 · Mathematics · Algebra · Sequences And Series
JEE ADVANCED 2020 PAPER 1 OFFLINE
Let m be the minimum possible value of \({\log _3}({3^{{y_1}}} + {3^{{y_2}}} + {3^{{y_3}}})\), where \({y_1},{y_2},{y_3}\) are real numbers for which \({{y_1} + {y_2} + {y_3}}\) = 9. Let M be the maximum possible value of \(({\log _3}{x_1} + {\log _3}{x_2} + {\log _3}{x_3})\), where \({x_1},{x_2},{x_3}\) are positive real numbers for which \({{x_1} + {x_2} + {x_3}}\) = 9. Then the value of \({\log _2}({m^3}) + {\log _3}({M^2})\) is ...........
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