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JEE Advanced 2020 Question Paper & Answers

The official JEE Advanced 2020 question papers, with the official answer key. Attempt as a real timed exam (with negative marking) or switch to practice mode for instant per-question answers and explanations.

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Official PYQ

JEE Advanced 2020 - Paper 1

180 Mins 198 Marks
54Questions
198Max Marks

Sample questions from JEE Advanced 2020 - Paper 1

1A football of radius RR is kept on a hole of radius rr (r<Rr < R) made on a plank kept horizontally. One end of the plank is now lifted so that it gets tilted making an angle θ\theta from the horizontal as shown in the figure below. The maximum value of θ\theta so that the football does not start rolling down the plank satisfies (figure is schematic and not drawn to scale) figure
  • A) sin⁡θ=rR\sin\theta = \dfrac{r}{R}
  • B) tan⁡θ=rR\tan\theta = \dfrac{r}{R}
  • C) sin⁡θ=r2R\sin\theta = \dfrac{r}{2R}
  • D) cos⁡θ=r2R\cos\theta = \dfrac{r}{2R}
Answer: A
2A light disc made of aluminium (a nonmagnetic material) is kept horizontally and is free to rotate about its axis as shown in the figure. A strong magnet is held vertically at a point above the disc away from its axis. On revolving the magnet about the axis of the disc, the disc will (figure is schematic and not drawn to scale) figure
  • A) rotate in the direction opposite to the direction of magnet's motion
  • B) rotate in the same direction as the direction of magnet's motion
  • C) not rotate and its temperature will remain unchanged
  • D) not rotate but its temperature will slowly rise
Answer: B
3A small roller of diameter 20 cm has an axle of diameter 10 cm (see figure below on the left). It is on a horizontal floor and a meter scale is positioned horizontally on its axle with one edge of the scale on top of the axle (see figure on the right). The scale is now pushed slowly on the axle so that it moves without slipping on the axle, and the roller starts rolling without slipping. After the roller has moved 50 cm, the position of the scale will look like (figures are schematic and not drawn to scale) figure figure
  • A) figure
  • B) figure
  • C) figure
  • D) figure
Answer: B
4A circular coil of radius RR and NN turns has negligible resistance. As shown in the schematic figure, its two ends are connected to two wires and it is hanging by those wires with its plane being vertical. The wires are connected to a capacitor with charge QQ through a switch. The coil is in a horizontal uniform magnetic field BoB_o parallel to the plane of the coil. When the switch is closed, the capacitor gets discharged through the coil in a very short time. By the time the capacitor is discharged fully, magnitude of the angular momentum gained by the coil will be (assume that the discharge time is so short that the coil has hardly rotated during this time) figure
  • A) π2NQBoR2\dfrac{\pi}{2} N Q B_o R^2
  • B) πNQBoR2\pi N Q B_o R^2
  • C) 2πNQBoR22\pi N Q B_o R^2
  • D) 4πNQBoR24\pi N Q B_o R^2
Answer: B
5A parallel beam of light strikes a piece of transparent glass having cross section as shown in the figure below. Correct shape of the emergent wavefront will be (figures are schematic and not drawn to scale) figure
  • A) figure
  • B) figure
  • C) figure
  • D) figure
Answer: A

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Official PYQ

JEE Advanced 2020 - Paper 2

180 Mins 192 Marks
52Questions
192Max Marks

Sample questions from JEE Advanced 2020 - Paper 2

1A train with cross-sectional area StS_t is moving with speed vtv_t inside a long tunnel of cross-sectional area S0S_0 (S0=4StS_0 = 4S_t). Assume that almost all the air (density ρ\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 p0p_0. If the pressure in the region between the sides of the train and the tunnel walls is pp, then p0−p=72Nρvt2p_0 - p = \dfrac{7}{2N}\rho v_t^2. The value of NN is ________.
Answer: 9
2Two large circular discs separated by a distance of 0.010.01 m are connected to a battery via a switch as shown in the figure. Charged oil drops of density 900900 kg m−3^{-3} are released through a tiny hole at the center of the top disc. Once some oil drops achieve terminal velocity, the switch is closed to apply a voltage of 200200 V across the discs. As a result, an oil drop of radius 8×10−78 \times 10^{-7} m stops moving vertically and floats between the discs. The number of electrons present in this oil drop is ________. (neglect the buoyancy force, take acceleration due to gravity =10= 10 ms−2^{-2} and charge on an electron (e) =1.6×10−19= 1.6\times10^{-19} C) figure
Answer: 6
3A hot air balloon is carrying some passengers, and a few sandbags of mass 11 kg each so that its total mass is 480480 kg. Its effective volume giving the balloon its buoyancy is VV. The balloon is floating at an equilibrium height of 100100 m. When NN number of sandbags are thrown out, the balloon rises to a new equilibrium height close to 150150 m with its volume VV remaining unchanged. If the variation of the density of air with height hh from the ground is ρ(h)=ρ0e−h/h0\rho(h) = \rho_0 e^{-h/h_0}, where ρ0=1.25\rho_0 = 1.25 kg m−3^{-3} and h0=6000h_0 = 6000 m, the value of NN is ________.
Answer: 4
4A point charge qq of mass mm is suspended vertically by a string of length ll. A point dipole of dipole moment p⃗\vec p is now brought towards qq from infinity so that the charge moves away. The final equilibrium position of the system including the direction of the dipole, the angles and distances is shown in the figure below. If the work done in bringing the dipole to this position is N×(mgh)N \times (mgh), where gg is the acceleration due to gravity, then the value of NN is ________. (Note that for three coplanar forces keeping a point mass in equilibrium, Fsin⁡θ\dfrac{F}{\sin\theta} is the same for all forces, where FF is any one of the forces and θ\theta is the angle between the other two forces) figure
Answer: 2
5A beaker of radius rr is filled with water (refractive index 43\dfrac{4}{3}) up to a height HH as shown in the figure on the left. The beaker is kept on a horizontal table rotating with angular speed ω\omega. This makes the water surface curved so that the difference in the height of water level at the center and at the circumference of the beaker is hh (h≪Hh \ll H, h≪rh \ll r), as shown in the figure on the right. Take this surface to be approximately spherical with a radius of curvature RR. Which of the following is/are correct? (gg is the acceleration due to gravity) figure
  • A) R=h2+r22hR = \dfrac{h^2+r^2}{2h}
  • B) R=3r22hR = \dfrac{3r^2}{2h}
  • C) Apparent depth of the bottom of the beaker is close to 3H2(1+ω2H2g)−1\dfrac{3H}{2}\left(1+\dfrac{\omega^2 H}{2g}\right)^{-1}
  • D) Apparent depth of the bottom of the beaker is close to 3H4(1+ω2H4g)−1\dfrac{3H}{4}\left(1+\dfrac{\omega^2 H}{4g}\right)^{-1}
Answer: A, D

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JEE Advanced 2020 Previous Year Question Paper with Answers (PYQ) | ClassScribe