1
JEE Advanced 2020 Paper 2 Offline
Numerical
+3
-1
A train with cross-sectional area St
is moving with speed vt
inside a long tunnel of cross-sectional
area S0 (S0 = 4St). Assume that almost all the air (density $$\rho $$) in front of the train flows back between
its sides and the walls of the tunnel. Also, the air flow with respect to the train is steady and laminar.
Take the ambient pressure and that inside the train to be p0. If the pressure in the region between the
sides of the train and the tunnel walls is p, then
p0 - p = $${7 \over {2N}}\rho v_t^2$$. The value of ЁЭСБ is ________.
p0 - p = $${7 \over {2N}}\rho v_t^2$$. The value of ЁЭСБ is ________.
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2
JEE Advanced 2020 Paper 2 Offline
Numerical
+3
-1
A hot air balloon is carrying some passengers, and a few sandbags of mass 1 kg each so that its total
mass is 480 kg. Its effective volume giving the balloon its buoyancy is V. The balloon is floating at
an equilibrium height of 100 m. When N number of sandbags are thrown out, the balloon rises to a
new equilibrium height close to 150 m with its volume V remaining unchanged. If the variation of
the density of air with height h from the ground is
$$\rho \left( h \right) = {\rho _0}{e^{ - {h \over {{h_0}}}}}$$, where $$\rho $$0 = 1.25 kg mтИТ3 and h0 = 6000 m, the value of N is _________.
$$\rho \left( h \right) = {\rho _0}{e^{ - {h \over {{h_0}}}}}$$, where $$\rho $$0 = 1.25 kg mтИТ3 and h0 = 6000 m, the value of N is _________.
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3
JEE Advanced 2020 Paper 2 Offline
Numerical
+4
-0
A cubical solid aluminium (bulk modulus = $$ - V{{dP} \over {dV}} = 70GPa$$) block has an edge length of 1 m on the surface of the earth. It is kept on the floor of a 5 km deep ocean. Taking the average density of water and the acceleration due to gravity to be 103 kg m-3 and 10 ms-2, respectively, the change in the edge length of the block in mm is _______.
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4
JEE Advanced 2020 Paper 1 Offline
Numerical
+4
-0
When water is filled carefully in a glass, one can fill it to a height h above the rim of the glass due to
the surface tension of water. To calculate h just before water starts flowing, model the shape of the
water above the rim as a disc of thickness h having semicircular edges, as shown schematically in the
figure. When the pressure of water at the bottom of this disc exceeds what can be withstood due to
the surface tension, the water surface breaks near the rim and water starts flowing from there. If the
density of water, its surface tension and the acceleration
due to gravity are 103 kg mтИТ3 , 0.07 NmтИТ1 and 10 msтИТ2 , respectively, the value of h (in mm) is _________.
due to gravity are 103 kg mтИТ3 , 0.07 NmтИТ1 and 10 msтИТ2 , respectively, the value of h (in mm) is _________.

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Questions Asked from Properties of Matter (Numerical)
Number in Brackets after Paper Indicates No. of Questions
JEE Advanced Subjects
Physics
Mechanics
Units & Measurements
Motion
Laws of Motion
Work Power & Energy
Impulse & Momentum
Rotational Motion
Properties of Matter
Heat and Thermodynamics
Simple Harmonic Motion
Waves
Gravitation
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Some Basic Concepts of Chemistry
Structure of Atom
Redox Reactions
Gaseous State
Equilibrium
Solutions
States of Matter
Thermodynamics
Chemical Kinetics and Nuclear Chemistry
Electrochemistry
Solid State & Surface Chemistry
Inorganic Chemistry
Periodic Table & Periodicity
Chemical Bonding & Molecular Structure
Isolation of Elements
Hydrogen
s-Block Elements
p-Block Elements
d and f Block Elements
Coordination Compounds
Salt Analysis
Organic Chemistry
Mathematics
Algebra
Quadratic Equation and Inequalities
Sequences and Series
Mathematical Induction and Binomial Theorem
Matrices and Determinants
Permutations and Combinations
Probability
Vector Algebra and 3D Geometry
Statistics
Complex Numbers
Trigonometry
Coordinate Geometry
Calculus