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JEE Advanced 2020 Paper 1 Offline

Exam Held on Sun Sep 27 2020 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

If the distribution of molecular speeds of a gas is as per the figure shown belo...
Which of the following liberates O<sub>2</sub> upon hydrolysis?
A colourless aqueous solution contains nitrates of two metals, X and Y. When it ...
Newman projections P, Q, R and S are shown below :<br><br><img src="https://imag...
Which of the following structures has the IUPAC name<br><br>3-ethynyl-2-hydroxy-...
The Fischer projection of D-erythrose is shown below :<br><br> <img src="https:/...
In thermodynamics, the p-V work done is given by<br><br>$$w = - \int {dV{p_{ext...
With respect to the compounds I-V, choose the correct statement(s).<br><br> <pic...
In the reaction scheme shown below Q, R and S are the major products.<br><br><pi...
Choose the correct statement(s) among the following :
With respect to hypochlorite, chlorate and perchlorate ions, choose the correct ...
The cubic unit cell structure of a compound containing cation M and anion X is s...
5.00 mL of 0.10 M oxalic acid solution taken in a conical flask is titrated agai...
Consider the reaction,<br><br>A $$\rightleftharpoons $$ B<br><br>at 1000 K. At ...
Consider a 70% efficient hydrogen-oxygen fuel cell working under standard condit...
Aluminium reacts with sulphuric acid to form aluminium sulphate and hydrogen. Wh...
$$_{92}^{238}U$$ is known to undergo radioactive decay to form $$_{82}^{206}Pb$$...
In the following reaction, compound Q is obtained from compound P via an ionic i...

Mathematics

Suppose a, b denote the distinct real roots of the quadratic polynomial x<sup>2<...
If the function f : R $$ \to $$ R is defined by f(x) = |x| (x $$-$$ sin x), then...
Let the functions f : R $$ \to $$ R and g : R $$ \to $$ R be defined by<br><br>f...
Let a, b and $$\lambda $$ be positive real numbers. Suppose P is an end point of...
Let C<sub>1</sub> and C<sub>2</sub> be two biased coins such that the probabilit...
Consider the rectangles lying the region <br><br>$$\left\{ {(x,y) \in R \times R...
Let the function f : R $$ \to $$ R be defined by f(x) = x<sup>3</sup> $$-$$ x<su...
Let M be a 3 $$ \times $$ 3 invertible matrix with real entries and let I denote...
Let S be the set of all complex numbers z <br>satisfying |z<sup>2</sup> + z + 1|...
Let x, y and z be positive real numbers. Suppose x, y and z are the lengths of t...
Let L<sub>1</sub> and L<sub>2</sub> be the following straight lines.<br><br>$${L...
Which of the following inequalities is/are TRUE?
Let m be the minimum possible value of $${\log _3}({3^{{y_1}}} + {3^{{y_2}}} + {...
Let a<sub>1</sub>, a<sub>2</sub>, a<sub>3</sub>, .... be a sequence of positive ...
Let f : [0, 2] $$ \to $$ R be the function defined by<br><br>$$f(x) = (3 - \sin ...
In a triangle PQR, let a = QR, b = RP, and c = PQ. If |a| = 3, |b| = 4 <br><br>a...
For a polynomial g(x) with real coefficients, let m<sub>g</sub> denote the numbe...
let e denote the base of the natural logarithm. The value of the real number a f...

Physics

A football of radius R is kept on a hole of radius r (r &lt; R) made on a plank ...
A small roller of diameter 20 cm has an axle of diameter 10 cm (see figure below...
A parallel beam of light strikes a piece of transparent glass having cross secti...
A circular coil of radius R and N turns has negligible resistance. As shown in t...
A light disc made of aluminium (a nonmagnetic material) is kept horizontally and...
An open-ended U-tube of uniform cross-sectional area contains water (density 10<...
A particle of mass m moves in circular orbits with potential energy V(r) = Fr, w...
Sometimes it is convenient to construct a system of units so that all quantities...
The filament of a light bulb has surface area 64 mm<sup>2</sup> . The filament c...
A uniform electric field, $$\overrightarrow E = - 400\sqrt 3 \widehat y$$ NC<s...
Shown in the figure is a semicircular metallic strip that has thickness t and re...
Consider one mole of helium gas enclosed in a container at initial pressure P<su...
Put a uniform meter scale horizontally on your extended index fingers with the l...
When water is filled carefully in a glass, one can fill it to a height h above t...
As shown schematically in the figure, two vessels contain water solutions (at te...
One end of a spring of negligible unstretched length and spring constant k is fi...
A circular disc of radius R carries surface charge density <br>$$\sigma \left( r...
A stationary tuning fork is in resonance with an air column in a pipe. If the tu...

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