Practice Questions

Q3. Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : An electric fan continues to rotate for some time after the current is switched off. Reason R: Fan continues to rotate due to inertia of motion. In the light of above statements, choose the most appropriate answer from the options given below. (1) A is correct but R is not correct (2) A is not correct but R is correct (3) Both A and R are correct and R is the correct (4) Both A and R are correct but R is NOT the explanation of A correct explanation of A

Q3. A child stands on the edge of the cliff 10 m above the ground and throws a stone horizontally with an initial speed of 5 m s – 1 . Neglecting the air resistance, the speed with which the stone hits the ground will be _____ m s – 1 (given, 𝑔 = 10 m s – 2 ). (1) 20 (2) 15 (3) 30 (4) 25

Q3. A stone of mass 1 kg is tied to end of a massless string of length 1 m. If the breaking tension of the string is 400 N , then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is: (1) 20 m s−1 (2) 40 m s−1 (3) 400 m s−1 (4) 10 m s−1

Q3. A ball is thrown vertically upward with an initial velocity of 150 m s−1 . The ratio of velocity after 3 s and 5 s is x+1 . The value of x is _____. {take, g = 10 m s−2 } x (1) 10 (2) −5 (3) 6 (4) 5

Q3. A child of mass 5 kg is going round a merry-go-round that makes 1 rotation in 3. 14 s. The radius of the merry- go-round is 2 m. The centrifugal force on the child will be (1) 80 N (2) 40 N (3) 100 N (4) 50 N

Q3. Given below are two statements: one is labelled as Assertion 𝐴 and the other is labelled as Reason 𝑅. Assertion A: When a body is projected at an angle 45°, its range is maximum. Reason R: For maximum range, the value of sin 2𝜃 should be equal to one. In the light of the above statements, choose the correct answer from the options given below: (1) 𝐴 is false but 𝑅 is true (2) 𝐴 is true but 𝑅 is false (3) Both 𝐴 and 𝑅 are correct and 𝑅 is the correct (4) Both 𝐴 and 𝑅 are correct but 𝑅 is NOT the correct explanation of 𝐴 explanation of 𝐴

Q3. A stone is projected at angle 30° to the horizontal. The ratio of kinetic energy of the stone at point of projection to its kinetic energy at the highest point of flight will be : (1) 1 : 2 (2) 1 : 4 (3) 4 : 1 (4) 4 : 3

Q4. A particle of mass 𝑚 moving with velocity 𝑣 collides with a stationary particle of mass 2𝑚. After collision, they stick together and continue to move together with velocity (1) 𝑣 (2) 𝑣 3 4 𝑣 (3) 𝑣 (4) 2

Q4. A vehicle of mass 200 kg is moving along a levelled curved road of radius 70 m with angular velocity of 0 . 2 rad s-1. The centripetal force acting on the vehicle is: (1) 560 N (2) 2800 N (3) 2240 N (4) 14 N

Q5. Two bodies are having kinetic energies in the ratio 16 : 9. If they have same linear momentum, the ratio of their masses respectively is: (1) 3 : 4 (2) 9 : 16 (3) 16 : 9 (4) 4 : 3

Q5. The radii of two planets 𝐴 and 𝐵 are 𝑅 and 4𝑅 and their densities are 𝜌 and respectively. The ratio of 3 acceleration due to gravity at their surfaces 𝑔𝐴: 𝑔𝐵 will be (1) 4: 3 (2) 1: 16 (3) 3: 16 (4) 3: 4 Q6. 1 kg of water at 100°C is converted into steam at 100°C by boiling at atmospheric pressure. The volume of water changes from 1 . 00 × 10-3 m3 as a liquid to 1 . 671 m3 as steam. The change in internal energy of the system during the process will be (Given latent heat of vaporisation = 2257 kJ / kg, Atmospheric pressure = 1 × 105 Pa (1) -2426 kJ (2) +2090 kJ (3) -2090 kJ (4) +2476 kJ JEE Main 2023 (11 Apr 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. 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 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

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. 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)

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. 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. 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 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

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: 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

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 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 )