JEE Main 2022 Question Paper & Answers
The official JEE Main 2022 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 2022 - July 25 Shift 1
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2022 - July 25 Shift 1
1If momentum [P], area [A] and time [T] are taken as fundamental quantities, then the dimensional formula for coefficient of viscosity is :
- A)
- B)
- C)
- D)
Answer: A
2Which of the following physical quantities have the same dimensions ?
- A) and surface charge
- B)
- C)
- D)
Answer: A
3
- A)
- B)
- C)
- D)
Answer: B
4
- A)
- B)
- C)
- D)
Answer: B
5A solid cylinder and a solid sphere, having same mass M and radius R, roll down the same inclined plane from top without slipping. They start from rest. The ratio of velocity of the solid cylinder to that of the solid sphere, with which they reach the ground, will be :
- A)
- B)
- C)
- D)
Answer: D
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Official PYQ
JEE Main 2022 - July 25 Shift 2
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2022 - July 25 Shift 2
1In AM modulation, a signal is modulated on a carrier wave such that maximum and minimum amplitude are found to be 6V and 2V respectively. The modulation index is
- A) 100%
- B) 80%
- C) 60%
- D) 50%
Answer: D
2
- A)
- B)
- C)
- D)
Answer: B
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 2022 - July 26 Shift 1
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2022 - July 26 Shift 1
1
- A)
- B)
- C)
- D)
Answer: C
210 MHz band. The value of corresponding wavelength bandwidth will be :
- A) 4 m
- B) 20 m
- C) 30 m
- D) 50 m
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 2022 - July 26 Shift 2
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2022 - July 26 Shift 2
1
- A)
- B)
- C)
- D)
Answer: C
2
- A)
- B)
- C)
- D)
Answer: C
3
- A)
- B)
- C)
- D)
Answer: B
4A body of mass 8 kg and another of mass 2 kg are moving with equal kinetic energy. The ratio of their respective momenta will be :
- A) 1:1
- B) 2:1
- C) 1:4
- D) 4:1
Answer: B
5Two uniformly charged spherical conductors A and B of radii 5 mm and 10 mm are separated by a distance of 2 cm. If the spheres are connected by a conducting wire, then in equilibrium condition, the ratio of the magnitudes of the electric fields at the surface of the sphere A and B will be :
- A) 1 : 2
- B) 2 : 1
- C) 1 : 1
- D) 1 : 4
Answer: B
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Official PYQ
JEE Main 2022 - July 27 Shift 1
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2022 - July 27 Shift 1
1A torque meter is calibrated to reference standards of mass, length and time each with 5% accuracy. After calibration, the measured torque with this torque meter will have net accuracy of :
- A) 15%
- B) 25%
- C) 75%
- D) 5%
Answer: B
2
- A)
- B)
- C)
- D)
Answer: A
3
- A)
- B)
- C)
- D)
Answer: D
4
- A)
- B)
- C)
- D)
Answer: B
5
- A)
- B)
- C)
- D)
Answer: B
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Official PYQ
JEE Main 2022 - July 27 Shift 2
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2022 - July 27 Shift 2
1
- A)
- B)
- C)
- D)
Answer: D
2
- A)
- B)
- C)
- D)
Answer: D
3
- A)
- B)
- C)
- D)
Answer: A
4A block ‘A’ takes 2 s to slide down a frictionless incline of 30° and length ‘l’, kept inside a lift going up with uniform velocity ‘v’. If the incline is changed to 45°, the time taken by the block, to slide down the incline, will be approximately:
- A) 2.66 s
- B) 0.83 s
- C) 1.68 s
- D) 0.70 s
Answer: C
5The velocity of the bullet becomes one third after it penetrates 4 cm in a wooden block. Assuming that bullet is facing a constant resistance during its motion in the block. The bullet stops completely after travelling at () cm inside the block. The value of x is:
- A) 2.0
- B) 1.0
- C) 0. 5
- D) 1.5
Answer: C
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Official PYQ
JEE Main 2022 - July 28 Shift 1
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2022 - July 28 Shift 1
1
- A)
- B)
- C)
- D)
Answer: C
2
- A)
- B)
- C)
- D)
Answer: A
3
- A) will be same for both the cases.
- B) average force will be different.
- C) but the impulse will be different.
- D) both the cases.
Answer: B
4A balloon has mass of 10 g in air. The air escapes from the balloon at a uniform rate with velocity 4.5 cm/s. If the balloon shrinks in 5 s completely. Then, the average force acting on that balloon will be (in dyne).
- A) 3
- B) 9
- C) 12
- D) 18
Answer: B
5If the radius of earth shrinks by 2% while its mass remains same. The acceleration due to gravity on the earth’s surface will approximately :
- A) decrease by 2%
- B) decrease by 4%
- C) increase by 2%
- D) increase by 4%
Answer: D
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Official PYQ
JEE Main 2022 - July 28 Shift 2
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2022 - July 28 Shift 2
1
- A)
- B)
- C)
- D)
Answer: D
2
- A)
- B)
- C)
- D)
Answer: B
3
- A)
- B)
- C)
- D)
Answer: D
4
- A)
- B)
- C)
- D)
Answer: D
5A bullet of mass 200 g having initial kinetic energy 90 J is shot inside a long swimming pool as shown in the figure. If it’s kinetic energy reduces to 40 J within 1s, the minimum length of the pool, the bullet has a to travel so that it completely comes to rest is
- A)
- B)
- C)
- D)
Answer: A
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Official PYQ
JEE Main 2022 - July 29 Shift 1
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2022 - July 29 Shift 1
1
- A)
- B)
- C)
- D)
Answer: D
2
- A)
- B)
- C)
- D)
Answer: B
3
- A)
- B)
- C)
- D)
Answer: B
4
- A)
- B)
- C)
- D)
Answer: A
5
- A)
- B)
- C)
- D)
Answer: C
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Official PYQ
JEE Main 2022 - June 24 Morning Shift
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2022 - June 24 Morning Shift
1The bulk modulus of a liquid is Nm. The pressure required to reduce the volume of the liquid by 2% is:
- A) Nm
- B) Nm
- C) Nm
- D) Nm
Answer: C
2Given below are two statements, one labelled as Assertion (A) and the other labelled as Reason (R).
Assertion (A): In a uniform magnetic field, speed and energy remain the same for a moving charged particle.
Reason (R): A moving charged particle experiences a magnetic force perpendicular to its direction of motion.
Choose the correct answer:
- A) Both (A) and (R) are true and (R) is the correct explanation of (A)
- B) Both (A) and (R) are true but (R) is NOT the correct explanation of (A)
- C) (A) is true but (R) is false
- D) (A) is false but (R) is true
Answer: A
3Two identical cells, each of emf 1.5 V, are connected in parallel across a parallel combination of two resistors, each of resistance . A voltmeter connected in the circuit measures 1.2 V. The internal resistance of each cell is:
- A)
- B)
- C)
- D)
Answer: C
4Identify the pair of physical quantities which have different dimensions:
- A) Wave number and Rydberg's constant
- B) Stress and Coefficient of elasticity
- C) Coercivity and Magnetisation
- D) Specific heat capacity and Latent heat
Answer: D
5A projectile is projected with a velocity of 25 m/s at an angle with the horizontal. After seconds its inclination with the horizontal becomes zero. If represents the horizontal range of the projectile, the value of will be (use m/s):
- A)
- B)
- C)
- D)
Answer: D
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Official PYQ
JEE Main 2022 - June 24 Shift 2
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2022 - June 24 Shift 2
1Identify the pair of physical quantities that have same dimensions :
- A) velocity gradient and decay constant
- B) wien's constant and Stefan constant
- C) angular frequency and angular momentum
- D) wave number and Avogadro number
Answer: A
2The distance between Sun and Earth is R. The duration of year if the distance between Sun and Earth becomes 3R will be :
- A) 3 years
- B) 3 years
- C) 9 years
- D) 3 3 years
Answer: D
3A stone of mass m, tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string is :
- A) the same throughout the motion
- B) minimum at the highest position of the circular path
- C) minimum at the lowest position of the circular path
- D) minimum when the rope is in the horizontal position
Answer: B
4Two identical charged particles each having a mass 10 g and charge 2.0 × C area placed on a horizontal table with a separation of L between then such that they stay in limited equilibrium. If the coefficient of friction between each particle and the table is 0.25, find the value of L. [Use ]
- A) 12 cm
- B) 10 cm
- C) 8 cm
- D) 5 cm
Answer: A
5A Carnot engine take 5000 kcal of heat from a reservoir at 727°C and gives heat to a sink at 127°C. The work done by the engine is :
- A) 3 × 106 J
- B) Zero
- C) 12.6 × 10 J
- D) 8.4 × 106 J
Answer: C
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Official PYQ
JEE Main 2022 - June 25 Shift 1
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2022 - June 25 Shift 1
1If , then the relative error in Z will be:
- A) ΔA/A + ΔB/B + ΔC/C
- B) 2ΔΔΔC/C
- C) 2ΔΔΔC/C
- D) ΔA/A + ΔB/B - ΔC/C
Answer: C
2A is a vector quantity such that | A | = non- zero constant. Which of the following r expressions is true for A ? r r
- A) A. r r
- B) A × A < 0 r r
- C) A × r r
- D) A × A > 0
Answer: C
3Which of the following relations is true for two unit vectors  and B̂ making an angle q to each other? ˆ +B
- A) | A ˆ | tan q ˆ -B ˆ |=| A ˆ + ˆB | tan q ˆ - ˆB |=| A
- B) | A ˆ +B
- C) | A ˆ | cos q ˆ -B ˆ |=| A ˆ -B
- D) | A ˆ | cos q ˆ +B ˆ |=| A
Answer: B
4If force ˆ + 4jˆ - 2kˆ acts on a particle having position vector 2iˆ + ˆˆ then, the torque about the origin will be :-
- A) 3iˆ + 4ˆˆ
- B) -10iˆ + 10ˆˆ
- C) 10iˆ + 5ˆˆ
- D) 10iˆ + ˆˆ
Answer: B
5The height of any point P above the surface of earth is equal to diameter of earth. The value of acceleration due to gravity at point P will be : (Given g = acceleration due to gravity at the surface of earth)
- A)
- B)
- C)
- D)
Answer: D
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Official PYQ
JEE Main 2022 - June 25 Shift 2
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2022 - June 25 Shift 2
1Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. Assertion A :Two identical balls A and B thrown with same velocity 'u' at two different angles with horizontal attained the same range R. If A and B reached the maximum height h1 and h2 respectively, then R 4 h1h 2 Reason R: Product of said heights. u 2 sin 2 u 2 cos2 h1h 2 . 2g 2g Choose the CORRECT answer :
- A) Both A and R are true and R is the correct explanation of A.
- B) Both A and R are true but R is NOT the correct explanation of A.
- C) A is true but R is false
- D) A is false but R is true
Answer: A
2Two buses P and Q start from a point at the same time and move in a straight line and their positions are represented by XP t t t 2 and XQ t ft t 2 . At what time, both the buses have same velocity ? f f (A)
- A) f/α
- B)
- C)
- D) f/(2(β-α))
Answer: D
3A disc with a flat small bottom beaker placed on it at a distance R from its center is revolving about an axis passing through the center and perpendicular to its plane with an angular velocity . The coefficient of static friction between the bottom of the beaker and the surface of the disc is . The beaker will revolve with the disc if : g g
- A) R
- B) R 2 2 2 g g
- C) R
- D) R 2 2 2
Answer: B
4A solid metallic cube having total surface area 24 m2 is uniformly heated. If its temperature is increased by 10°C, calculate the increase in volume of the cube Given : 5.0 104 C1
- A) 2.4 106 cm3
- B) 1.2 105 cm3
- C) 6.0 104 cm3
- D) 4.8 105 cm3
Answer: B
5A copper block of mass 5.0 kg is heated to a temperature of 500°C and is placed on a large ice block. What is the maximum amount of ice that can melt? [Specific heat of copper: 0.39 J g 1 C 1 and latent heat of fusion of water : 335 J ]
- A) 1.5 kg
- B) 5.8 kg
- C) 2.9 kg
- D) 3.8 kg
Answer: C
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Official PYQ
JEE Main 2022 - June 26 Shift 1
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2022 - June 26 Shift 1
1
- A)
- B)
- C)
- D)
Answer: C
2A person is standing in an elevator. In which situation, he experiences weight loss ?
- A) When the elevator moves upward with constant acceleration
- B) When the elevator moves downward with constant acceleration
- C) When the elevator moves upward with uniform velocity
- D) When the elevator moves downward with uniform velocity
Answer: B
3An object is thrown vertically upwards. At its maximum height, which of the following quantity becomes zero ?
- A) Momentum
- B) Potential energy
- C) Acceleration
- D) Force
Answer: A
4
- A)
- B)
- C)
- D)
Answer: C
5
- A)
- B)
- C)
- D)
Answer: C
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Official PYQ
JEE Main 2022 - June 26 Shift 2
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2022 - June 26 Shift 2
1The dimension of mutual inductance is :
- A)
- B)
- C)
- D)
Answer: C
2
- A)
- B)
- C)
- D)
Answer: A
3
- A)
- B)
- C)
- D)
Answer: A
4Solid spherical ball is rolling on a frictionless horizontal plane surface about its axis of symmetry. The ratio of rotational kinetic energy of the ball to its total kinetic energy is :-
- A)
- B)
- C)
- D)
Answer: B
5Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R. Assertion A : If we move from poles to equator, the direction of acceleration due to gravity of earth always points towards the center of earth without any variation in its magnitude. Reason R : At equator, the direction of acceleration due to the gravity is towards the center of earth. In the light of above statements, choose the correct answer from the options given below :
- A) Both A and R are true and R is the correct explanation of A.
- B) Both A and R are true but R is NOT the correct explanation of A.
- C) A is true but R is false
- D) A is false but R is true
Answer: D
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Official PYQ
JEE Main 2022 - June 27 Shift 1
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2022 - June 27 Shift 1
1
- A)
- B)
- C)
- D)
Answer: B
2
- A)
- B)
- C)
- D)
Answer: C
3
- A)
- B)
- C)
- D)
Answer: A
4
- A)
- B)
- C)
- D)
Answer: C
5Two blocks of masses 10 kg and 30 kg are placed on the same straight line with coordinates (0, 0) cm and (x, 0) cm respectively. The block of 10 kg is moved on the same line through a distance of 6 cm towards the other block. The distance through which the block of 30 kg must be moved to keep the position of centre of mass of the system unchanged is :
- A) 4 cm towards the 10 kg block
- B) 2 cm away from the 10 kg block
- C) 2 cm towards the 10 kg block
- D) 4 cm away from the 10 kg block
Answer: C
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Official PYQ
JEE Main 2022 - June 27 Shift 2
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2022 - June 27 Shift 2
1The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be
- A)
- B)
- C)
- D)
Answer: A
2and its angular diameter is (2000) s when observed from the earth. The diameter of the Sun will be :
- A)
- B)
- C)
- D)
Answer: C
3When a ball is dropped into a lake from a height 4.9 m above the water level, it hits the water with a velocity v and then sinks to the bottom with the constant velocity v. It reaches the bottom of the lake 4.0 s after it is dropped. The approximate depth of the lake is :
- A) 19.6 m
- B) 29.4 m
- C) 39.2 m
- D) 73.5 m
Answer: B
4
- A)
- B)
- C)
- D)
Answer: C
5
- A)
- B)
- C)
- D)
Answer: B
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Official PYQ
JEE Main 2022 - June 28 Shift 1
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2022 - June 28 Shift 1
1
- A)
- B)
- C)
- D)
Answer: C
2
- A)
- B)
- C)
- D)
Answer: C
3
- A)
- B)
- C)
- D)
Answer: A
4
- A)
- B)
- C)
- D)
Answer: A
5
- A)
- B)
- C)
- D)
Answer: C
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Official PYQ
JEE Main 2022 - June 28 Shift 2
180 Mins 300 Marks
75Questions
300Max Marks
Sample questions from JEE Main 2022 - June 28 Shift 2
1
- A)
- B)
- C)
- D)
Answer: A
2
- A)
- B)
- C)
- D)
Answer: C
3
- A)
- B)
- C)
- D)
Answer: C
4
- A)
- B)
- C)
- D)
Answer: B
5Two objects of equal masses placed at certain distance from each other attracts each other with a force of F. If one-third mass of one object is transferred to the other object, then the new force will be :
- A)
- B)
- C)
- D)
Answer: C
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