Exam Details
JEE ADVANCED 2021 PAPER 2 ONLINE
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Questions
57
Duration
180 mins
Package
IIT-JEE Advance - Previous Year Papers
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Topic distribution
Subtopic distribution
Difficulty distribution
57questions
Medium
40
70.2%
Hard
14
24.6%
Easy
3
5.3%
Question type distribution
57questions
Multiple Choices
30
52.6%
Numerical Answer Type (NAT)
27
47.4%
Syllabus
Full Syllabus
Sample questions from this paper
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2021 · Physics · Mechanics · Impulse And Momentum
JEE ADVANCED 2021 PAPER 2 ONLINE
A pendulum consists of a bob of mass m = 0.1 kg and a massless inextensible string of length L = 1.0 m. It is suspended from a fixed point at height H = 0.9 m above a frictionless horizontal floor. Initially, the bob of the pendulum is lying on the floor at rest vertically below the point of suspension. A horizontal impulse P = 0.2 kg-m/s is imparted to the bob at some instant. After the bob slides for some distance, the string becomes taut and the bob lifts off the floor. The magnitude of the angular momentum of the pendulum about the point of suspension just before the bob lifts off is J kg-m2/s. The kinetic energy of the pendulum just after the lift-off is K Joules.
The value of J is ___________.
The value of J is ___________.
Enter a numerical response
2021 · Chemistry · Physical Chemistry · Redox Reactions
JEE ADVANCED 2021 PAPER 2 ONLINE
A sample (5.6 g) containing iron is completely dissolved in cold dilute HCl to prepare a 250 mL of solution. Titration of 25.0 mL of this solution requires 12.5 mL of 0.03 M KMnO4 solution to reach the end point. Number of moles of Fe2+ present in 250 mL solution is x \(\times\) 10\(-\)2 (consider complete dissolution of FeCl2). The amount of iron present in the sample is y% by weight.
(Assume : KMnO4 reacts only with Fe2+ in the solution
Use : Molar mass of iron as 56 g mol\(-\)1)
The value of y is ______.
(Assume : KMnO4 reacts only with Fe2+ in the solution
Use : Molar mass of iron as 56 g mol\(-\)1)
The value of y is ______.
Enter a numerical response
2021 · Mathematics · Algebra · Probability
JEE ADVANCED 2021 PAPER 2 ONLINE
A number of chosen at random from the set {1, 2, 3, ....., 2000}. Let p be the probability that the chosen number is a multiple of 3 or a multiple of 7. Then the value of 500p is __________.
Enter a numerical response
2021 · Physics · Mechanics · Heat And Thermodynamics
JEE ADVANCED 2021 PAPER 2 ONLINE
A soft plastic bottle, filled with water of density 1 gm/cc, carries an inverted glass test-tube with some air (ideal gas) trapped as shown in the figure. The test-tube has a mass of 5 gm, and it is made of a thick glass of density 2.5 gm/cc. Initially the bottle is sealed at atmosphere pressure p0 = 105 Pa so that the volume of the trapped air is v0 = 3.3 cc. When the bottle is squeezed from outside at constant temperature, the pressure inside rises and the volume of the trapped air reduces. It is found that the test tube begins to sink at pressure p0 + \(\Delta\)p without changing its orientation. At this pressure, the volume of the trapped air is v0 \(-\) \(\Delta\)v. Let \(\Delta\)v = X cc and \(\Delta\)p = Y \(\times\) 103 Pa.
The value of X is _______________.
The value of X is _______________.
Enter a numerical response
2021 · Chemistry · Physical Chemistry · Redox Reactions
JEE ADVANCED 2021 PAPER 2 ONLINE
A sample (5.6 g) containing iron is completely dissolved in cold dilute HCl to prepare a 250 mL of solution. Titration of 25.0 mL of this solution requires 12.5 mL of 0.03 M KMnO4 solution to reach the end point. Number of moles of Fe2+ present in 250 mL solution is x \(\times\) 10\(-\)2 (consider complete dissolution of FeCl2). The amount of iron present in the sample is y% by weight.
(Assume : KMnO4 reacts only with Fe2+ in the solution
Use : Molar mass of iron as 56 g mol\(-\)1)
The value of x is ______.
(Assume : KMnO4 reacts only with Fe2+ in the solution
Use : Molar mass of iron as 56 g mol\(-\)1)
The value of x is ______.
Enter a numerical response
2021 · Mathematics · Coordinate Geometry · Circle
JEE ADVANCED 2021 PAPER 2 ONLINE
Consider the region R = {(x, y) \(\in\) R \(\times\) R : x \(\ge\) 0 and y2 \(\le\) 4 \(-\) x}. Let F be the family of all circles that are contained in R and have centers on the x-axis. Let C be the circle that has largest radius among the circles in F. Let (\(\alpha\), \(\beta\)) be a point where the circle C meets the curve y2 = 4 \(-\) x.
The value of \(\alpha\) is ___________.
The value of \(\alpha\) is ___________.
Enter a numerical response