JEE Main 2020 Question Paper & Answers
The official JEE Main 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 Main 2020 - September 2 Shift 1
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2020 - September 2 Shift 1
1The mass density of a spherical galaxy varies as K/r over a large distance 'r' from its centre. In that region, a small star is in a circular orbit of radius R. Then the period of revolution T depends on R as:
- A) ∝ R
- B) ∝
- C) T ∝ R
- D) T ∝
Answer: A
2An amplitude modulated wave is represented by the expression ( cos 6280t) sin(2π× t) volts. The minimum and maximum amplitudes of the amplitude modulated wave are, respectively:
- A) 5V, 5V
- B) 5V, 8V
- C) 3V, 5V
- D) 2V, 8V
Answer: D
3A spherical mirror is obtained as shown in the figure from a hollow glass sphere. If an object is positioned in front of the mirror, what will be the nature and magnification of the image of the object? (Figure drawn as schematic and not to scale; object lies beyond the centre of curvature)
- A) Erect, virtual and unmagnified
- B) Inverted, real and magnified
- C) Erect, virtual and magnified
- D) Inverted, real and unmagnified
Answer: D
4A cylindrical vessel containing a liquid is rotated about its axis so that the liquid rises at its sides as shown in the figure. The radius of the vessel is 5 cm and the angular speed of rotation is ω rad/s. The difference in the height h (in cm) of liquid at the centre of the vessel and at the side, for ω² in appropriate units, will be:
- A) ω²/20
- B) ω²/10
- C) ω²/2
- D) ω²/4
Answer: C
5If speed V, area A and force F are chosen as fundamental units, then the dimension of Young's modulus will be:
- A)
- B)
- C)
- D)
Answer: C
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Official PYQ
JEE Main 2020 - September 2 Shift 2
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2020 - September 2 Shift 2
1If momentum (P), area (A) and time (T) are taken to be the fundamental quantities, then the dimensional formula for energy is:
- A) [P T]
- B) [P ]
- C) [P ]
- D) [ A ]
Answer: B
2Two uniform circular discs are rotating independently in the same direction around their common axis passing through their centres. The moment of inertia and angular velocity of the first disc are 0.1 and 10 rad/s respectively, while those for the second one are 0.2 and 5 rad/s respectively. At some instant they get stuck together and start rotating as a single system about their common axis with some angular speed. The kinetic energy of the combined system is:
- A) J
- B) J
- C) J
- D) J
Answer: D
3A particle is moving 5 times as fast as an electron. The ratio of the de-Broglie wavelength of the particle to that of the electron is 1.878×. The mass of the particle is close to:
- A) 4.8× g
- B) 9.1× kg
- C) 9.7× kg
- D) 1.2× kg
Answer: C
4A potentiometer wire PQ of 1 m length is connected to a standard cell E1. Another cell E2 of emf 1.02 V is connected with a resistance 'r' and switch S. With switch S open, the null position is obtained at a distance of 49 cm from Q. The potential gradient in the potentiometer wire is:
- A) 0.03 V/cm
- B) 0.02 V/cm
- C) 0.04 V/cm
- D) 0.01 V/cm
Answer: B
5In the given digital circuit, what will be the output at 'Z', when the inputs (A,B) are (1,0), (0,0), (1,1), (0,1):
- A) 0,1,0,0
- B) 1,1,0,1
- C) 0,0,1,0
- D) 1,0,1,1
Answer: C
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Official PYQ
JEE Main 2020 - September 3 Shift 1
180 Mins 296 Marks
74Questions
296Max Marks
Sample questions from JEE Main 2020 - September 3 Shift 1
1
- A)
- B)
- C)
- D)
Answer: B
2A uniform thin rope of length 12 m and mass 6 kg hangs vertically from a rigid support and a block of mass 2 kg is attached to its free end. A transverse short wavetrain of wavelength 6 cm is produced at the lower end of the rope. What is the wavelength of the wavetrain (in cm) when it reaches the top of the rope ?
- A) 12
- B) 3
- C) 9
- D) 6
Answer: A
3When a diode is forward biased, it has a voltage drop of 0.5 V. The safe limit of current through the diode is 10 mA. If a battery of emf 1.5 V is used in the circuit, the value of minimum resistance to be connected in series with the diode so that the current does not exceed the safe limit is :
- A)
- B)
- C)
- D)
Answer: D
4Using screw gauge of pitch 0.1 cm and 50 divisions on its circular scale, the thickness of an object is measured. It should correctly be recorded as :
- A) 2.125 cm
- B) 2.124 cm
- C) 2.123 cm
- D) 2.121 cm
Answer: B
5
- A)
- B)
- C)
- D)
Answer: D
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Official PYQ
JEE Main 2020 - September 3 Shift 2
180 Mins 296 Marks
74Questions
296Max Marks
Sample questions from JEE Main 2020 - September 3 Shift 2
1A block of mass m attached to a massless spring is performing oscillatory motion of amplitude ‘A’ on a frictionless horizontal plane. If half of the mass of the block breaks off when it is passing through its equilibrium point, the amplitude of oscillation for the remaining system become fA. The value of f is :
- A)
- B)
- C)
- D)
Answer: D
2
- A)
- B)
- C)
- D)
Answer: D
3Two sources of light emit X-rays of wavelength 1 nm and visible light of wavelength 500 nm, respec- tively. Both the sources emit light of the same power 200 W. The ratio of the number density of photons of X-rays to the number density of photons of the visible light of the given wavelengths is :
- A)
- B)
- C)
- D)
Answer: A
4
- A)
- B)
- C)
- D)
Answer: C
5Amount of solar energy received on the earth’s surface per unit area per unit time is defined a solar constant. Dimension of solar constant is :
- A)
- B)
- C)
- D)
Answer: A
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Official PYQ
JEE Main 2020 - September 4 Shift 1
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2020 - September 4 Shift 1
1Starting from the origin at time , with initial velocity ms, a particle moves in the x-y plane with a constant acceleration of ms. At time , its coordinates are . The values of and are, respectively:
- A) 5 s and 25 m
- B) 2 s and 18 m
- C) 2 s and 24 m
- D) 4 s and 52 m
Answer: B
2A small bar magnet placed with its axis at 30° with an external field of 0.06 T experiences a torque of 0.018 Nm. The minimum work required to rotate it from its stable to unstable equilibrium position is:
- A) J
- B) J
- C) J
- D) J
Answer: C
3Choose the correct option relating wavelengths of different parts of the electromagnetic wave spectrum:
- A)
- B)
- C)
- D)
Answer: A
4On the x-axis and at a distance x from the origin, the gravitational field due to a mass distribution is given by in the x-direction. The magnitude of the gravitational potential on the x-axis at distance x, taking its value to be zero at infinity, is:
- A)
- B)
- C)
- D)
Answer: A
5A small bar magnet is moved through a coil at constant speed from one end to the other. Which series of galvanometer deflections (entry, fully inside, exit) will be observed?
- A) Deflection one way, then zero, then deflection the other way
- B) Deflection one way throughout, increasing then decreasing
- C) Zero throughout
- D) Deflection the same way at entry and exit, zero in between
Answer: A
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Official PYQ
JEE Main 2020 - September 4 Shift 2
180 Mins 276 Marks
69Questions
276Max Marks
Sample questions from JEE Main 2020 - September 4 Shift 2
1
- A)
- B)
- C)
- D)
Answer: D
2A person pushes a box on a rough horizontal plateform surface. He applies a force of 200 N over a distance of 15 m. Thereafter, he gets progressively tired and his applied force reduces linearly with distance to 100 N. The total distance through which the box has been moved is 30 m. What is the work done by the person during the total movement of the box?
- A) 5690 J
- B) 5250 J
- C) 2780 J
- D) 3280 J
Answer: B
3
- A)
- B)
- C)
- D)
Answer: C
4
- A)
- B)
- C)
- D)
Answer: B
5
- A)
- B)
- C)
- D)
Answer: B
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Official PYQ
JEE Main 2020 - September 5 Shift 1
180 Mins 296 Marks
74Questions
296Max Marks
Sample questions from JEE Main 2020 - September 5 Shift 1
1With increasing biasing voltage of a photodiode, the photocurrent magnitude :
- A) increases initially and saturates finally
- B) remains constant
- C) increases linearly
- D) increases initially and after attaining certain value, it decreases
Answer: A
2A square loop of side 2a, and carrying current I, is kept in XZ plane with its centre at origin. A long wire carrying the same current I is placed parallel to the z-axis and passing through the point (0, b, 0), (b > > a). The magnitude of the torque on the loop about z-axis is given by : 2 3 2 3 2 2 2 2
- A)
- B)
- C)
- D)
Answer: C
3
- A)
- B)
- C)
- D)
Answer: D
4Two capacitors of capacitances C and 2C are charged to potential differences V and 2V, respec- tively. These are then connected in parallel in such a manner that the positive terminal of one is connected to the negative terminal of the other. The final energy of this configuration is :
- A)
- B)
- C)
- D)
Answer: D
5A helicopter rises from rest on the ground vertically upwards with a constant acceleration g. A food packet is dropped from the helicopter when it is at a height h. The time taken by the packet to reach the ground is close to [g is the acceleration due to gravity] :
- A)
- B)
- C)
- D)
Answer: A
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Official PYQ
JEE Main 2020 - September 5 Shift 2
180 Mins 288 Marks
72Questions
288Max Marks
Sample questions from JEE Main 2020 - September 5 Shift 2
1
- A)
- B)
- C)
- D)
Answer: C
2
- A)
- B)
- C)
- D)
Answer: A
3
- A)
- B)
- C)
- D)
Answer: A
4
- A)
- B)
- C)
- D)
Answer: B
5
- A)
- B)
- C)
- D)
Answer: A
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Official PYQ
JEE Main 2020 - September 6 Shift 1
180 Mins 280 Marks
70Questions
280Max Marks
Sample questions from JEE Main 2020 - September 6 Shift 1
1
- A)
- B)
- C)
- D)
Answer: C
2
- A)
- B)
- C)
- D)
Answer: A
3
- A)
- B)
- C)
- D)
Answer: B
4
- A)
- B)
- C)
- D)
Answer: A
5A satellite is in an elliptical orbit around a planet P. It is observed that the velocity of the satellite when it is farthest from the planet is 6 times less than that when it is closest to the planet. The ratio of distances between the satellite and the planet at closest and farthest points is:
- A) 1 : 2
- B) 1 : 3
- C) 1 : 6
- D) 3 : 4
Answer: C
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