Practice Questions

Q6. Figures (a), (b), (c) and (d) show variation of force with time. JEE Main 2023 (01 Feb Shift 2) JEE Main Previous Year Paper JEE Main 2023 (01 Feb Shift 2) JEE Main Previous Year Paper The impulse is highest in figure. (1) Fig (c) (2) Fig (b) (3) Fig (a) (4) Fig (d)

Q6. Given below are two statements: Statement I : For a planet, if the ratio of mass of the planet to its radius increase, the escape velocity from the planet also increase. Statement II : Escape velocity is independent of the radius of the planet. In the light of above statements, choose the most appropriate answer from the options given below (1) Statement I is incorrect but Statement II is correct (2) Statement I is correct but statement II is incorrect (3) Both Statement I and Statement II are incorrect (4) Both Statement I and Statement II are correct

Q6. A 100 m long wire having cross-sectional area 6 . 25 × 10-4 m2 and Young's modulus is 1010 N m-2 is subjected to a load of 250 N, then the elongation in the wire will be : (1) 6 . 25 × 10-3 m (2) 4 × 10-4 m (3) 6 . 25 × 10-6 m (4) 4 × 10-3 m Q7. 1 g of a liquid is converted to vapour at 3 × 105 Pa pressure. If 10% of the heat supplied is used for increasing the volume by 1600 cm3 during this phase change, then the increase in internal energy in the process will be : (1) 4320 J (2) 432000 J (3) 4800 J (4) 4 . 32 × 108 J JEE Main 2023 (24 Jan Shift 1) JEE Main Previous Year Paper

Q6. Assuming the earth to be a sphere of uniform mass density, the weight of a body at a depth 𝑑= 𝑅 from the 2 surface of earth, if its weight on the surface of earth is 200 N, will be : (Given 𝑅= radius of earth) (1) 300 N (2) 100 N (3) 400 N (4) 500 N

Q6. A bullet of 10 g leaves the barrel of gun with a velocity of 600 m s−1 . If the barrel of gun is 50 cm long and mass of gun is 3 kg, then value of impulse supplied to the gun will be: (1) 6 N s (2) 3 N s (3) 36 N s (4) 12 N s

Q6. Given below are two statements : Statement-I: Acceleration due to gravity is different at different places on the surface of earth. Statement-II: Acceleration due to gravity increases as we go down below the earth's surface. In the light of the above statements, choose the correct answer from the options given below (1) Both Statement I and Statement II are true (2) Both Statement I and Statement II are false (3) Statement I is true but Statement II is false (4) Statement I is false but Statement II is true

Q7. If 1000 droplets of water of surface tension 0 . 07 N m-1. having same radius 1 mm each, combine to from a single drop. In the process the released surface energy is- 22 Take π = 7 JEE Main 2023 (31 Jan Shift 1) JEE Main Previous Year Paper (1) 7 . 92 × 10-6 J (2) 7 . 92 × 10-4 J (3) 9 . 68 × 10-4 J (4) 8 . 8 × 10-5J

Q7. Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Earth has atmosphere whereas moon doesn’t have any atmosphere. Reason R: The escape velocity on moon is very small as compared to that on earth. In the light of the above statements, choose the correct answer from the options given below: JEE Main 2023 (06 Apr Shift 1) JEE Main Previous Year Paper (1) Both 𝐴 and 𝑅 are correct but 𝑅 is NOT the correct (2) 𝐴 is false but 𝑅 is true explanation of 𝐴 (3) Both 𝐴 and 𝑅 are correct and 𝑅 is the correct (4) 𝐴 is true but 𝑅 is false explanation of 𝐴

Q7. Given below are two statements: JEE Main 2023 (10 Apr Shift 1) JEE Main Previous Year Paper Statement I: Pressure in a reservoir of water is same at all points at the same level of water. Statement II: The pressure applied to enclosed water is transmitted in all directions equally. In the light of the above statements, choose the correct answer from the options given below: (1) Both Statement I and Statement II are false (2) Statement I is true but Statement II is false (3) Statement I is false but Statement II is true (4) Both Statement I and Statement II are true

Q7. ICM is moment of inertia of a circular disc about an axis (CM) passing through its center and perpendicular to the plane of disc. IAB is its moment of inertia about an axis AB perpendicular to plane and parallel to axis CM at a distance 2 R from center, where R is the radius of the disc. The ratio of IAB and ICM is x : 9. The value of x is 3 ______.

Q7. A wire of length L and radius r is clamped rigidly at one end. When the other end of the wire is pulled by a force f , its length increases by l. Another wire of same material of length 2L and radius 2r is pulled by a force 2f . Then the increase in its length will be: (1) 4l (2) 2l (3) 2l (4) l

Q7. A gas is compressed adiabatically, which one of the following statement is NOT true? (1) There is no heat supplied to the system (2) There is no change in the internal energy (3) The temperature of the gas increases (4) The change in the internal energy is equal to the work done on the gas

Q8. Choose the incorrect statement from the following: JEE Main 2023 (06 Apr Shift 2) JEE Main Previous Year Paper (1) The speed of satellite in a given circular orbit (2) For a planet revolving around the sun in an remains constant elliptical orbit, the total energy of the planet remains constant (3) The linear speed of a planet revolving around the (4) When a body falls towards earth, the sun remains constant displacement of earth towards the body is negligible

Q8. The initial pressure and volume of an ideal gas are 𝑃0 and 𝑉0. The final pressure of the gas when the gas is suddenly compressed to volume 𝑉0 will be: 4 (Given 𝛾= ratio of specific heats at constant pressure and at constant volume.) (1) 𝑃0 ( 4 ) 𝛾 (2) 4𝑃0 1 𝛾 (3) 𝑃0 (4) 𝑃0 ( 4 )

Q8. The ratio of escape velocity of a planet to the escape velocity of earth will be:- Given: Mass of the planet is 16 times mass of earth and radius of the planet is 4 times the radius of earth. JEE Main 2023 (12 Apr Shift 1) JEE Main Previous Year Paper (1) 4 : 1 (2) 1 : 4 (3) 1 : √2 (4) 2 : 1 Q9. 64 identical drops each charged upto potential of 10 mV are combined to form a bigger drop. The potential of the bigger drop will be _____ mV .

Q8. A planet having mass 9 Me and radius 4Re, where Me and Re are mass and radius of earth respectively, has escape velocity in km s−1 given by: (Given escape velocity on earth Ve = 11. 2 × 103 m s−1 ) (1) 67. 2 (2) 16. 8 (3) 11. 2 (4) 33. 6

Q8. A body weight W , is projected vertically upwards from earth's surface to reach a height above the earth which is equal to nine times the radius of earth. The weight of the body at that height will be: (1) W (2) W 91 100 (3) W (4) W 9 3

Q8. A thermodynamic system is taken through cyclic process. The total work done in the process is : JEE Main 2023 (15 Apr Shift 1) JEE Main Previous Year Paper (1) 200 J (2) 300 J (3) 100 J (4) Zero

Q8. The height of liquid column raised in a capillary tube of certain radius when dipped in liquid 𝐴 vertically is, 5 cm. If the tube is dipped in a similar manner in another liquid 𝐵 of surface tension and density double the JEE Main 2023 (30 Jan Shift 1) JEE Main Previous Year Paper values of liquid 𝐴, the height of liquid column raised in liquid B would be ______ m. (1) 0 . 20 (2) 0 . 5 (3) 0 . 05 (4) 0 . 10

Q8. The acceleration due to gravity at height h above the earth if h ≪R (Radius of earth) is given by − 2R2 (1) g′ = g(1 h2 ) (2) g′ = g(1 − 2Rh ) (3) g′ = g(1 −2hR ) (4) g′ = g(1 −2h2R2 )

Q9. The average kinetic energy of a molecule of the gas is (1) proportional to absolute temperature (2) proportional to volume (3) proportional to pressure (4) dependent on the nature of the gas

Q9. For a body projected at an angle with the horizontal from the ground, choose the correct statement (1) Gravitational potential energy is maximum at the (2) The horizontal component of velocity is zero at highest point. highest point. (3) The vertical component of momentum is (4) The kinetic energy (K.E.) is zero at the highest maximum at the highest point. point of projectile motion.

Q9. A source supplies heat to a system at the rate of 1000 W . If the system performs work at a rate of 200 W . The rate at which internal energy of the system increases is (1) 600 W (2) 800 W (3) 500 W (4) 1200 W

Q9. The variation of kinetic energy (KE) of a particle executing simple harmonic motion with the displacement (𝑥) starting from mean position to extreme position (𝐴) is given by (1) (2) (3) (4)

Q9. Heat is given to an ideal gas in an isothermal process. A. Internal energy of the gas will decrease. B. Internal energy of the gas will increase. C. Internal energy of the gas will not change. D. The gas will do positive work. E. The gas will do negative work. Choose the correct answer from the options given below : (1) A and E only (2) B and D only (3) C and E only (4) C and D only