Practice Questions

Q6. A player caught a cricket ball of mass 150 g moving at a speed of 20 m/s. If the catching process is completed in 0.1 s, the magnitude of force exerted by the ball on the hand of the player is: (1) 3 N (2) 300 N (3) 150 N (4) 30 N

Q6. A light planet is revolving around a massive star in a circular orbit of radius 𝑅 with a period of revolution 𝑇. If the force of attraction between planet and star is proportional to 𝑅-3 / 2 then choose the correct option : (1) 𝑇2 ∝𝑅5 / 2 (2) 𝑇2 ∝𝑅7 / 2 (3) 𝑇2 ∝𝑅3 / 2 (4) 𝑇2 ∝𝑅3

Q6. Assuming the earth to be a sphere of uniform mass density, a body weighed 300 N on the surface of earth. How much it would weigh at R/4 depth under surface of earth ? (1) 75 N (2) 300 N (3) 375 N (4) 225 N

Q6. A spherical ball of radius 1 × 10−4 m and density 105 kg/m3 falls freely under gravity through a distance h before entering a tank of water, If after entering in water the velocity of the ball does not change, then the value of h is approximately: (The coefficient of viscosity of water is 9.8 × 10−6 N s/m2 ) (1) 2296 m (2) 2518 m (3) 2249 m (4) 2396 m

Q6. The acceleration due to gravity on the surface of earth is g. If the diameter of earth reduces to half of its original value and mass remains constant, then acceleration due to gravity on the surface of earth would be : (1) g (2) 2g 4 (3) g (4) 4g 2

Q6. Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The angular speed of the moon in its orbit about the earth is more than the angular speed of the earth in its orbit about the sun. Reason (R): The moon takes less time to move around the earth than the time taken by the earth to move around the sun. In the light of the above statements, choose the most appropriate answer from the options given below : (1) (A) is correct but (R) is not correct (2) Both (A) and (R) are correct and (R) is the correct explanation of A. (3) Both (A) and (R) are correct but (R) is not the (4) (A) is not correct but (R) is correct correct explanation of A.

Q6. At what distance above and below the surface of the earth a body will have same weight? (Take radius of earth as R) (1) √5R −R (2) √3R−R 2 (3) R (4) √5R−R 2 2

Q6. Ratio of radius of gyration of a hollow sphere to that of a solid cylinder of equal mass, for moment of Inertia about their diameter axis AB as shown in figure is √8/x. The value of x is : (1) 51 (2) 34 (3) 17 (4) 67 JEE Main 2024 (05 Apr Shift 1) JEE Main Previous Year Paper

Q6. Escape velocity of a body from earth is 11 . 2 km s-1. If the radius of a planet be one-third the radius of earth and mass be one-sixth that of earth, the escape velocity from the plate is: (1) 11 . 2 km s-1 (2) 8 . 4 km s-1 (3) 4 . 2 km s-1 (4) 7 . 9 km s-1

Q6. A ball of mass 0 . 5 kg is attached to a string of length 50 cm. The ball is rotated on a horizontal circular path about its vertical axis. The maximum tension that the string can bear is 400 N. The maximum possible value of angular velocity of the ball in rad s-1 is,: (1) 1600 (2) 40 (3) 1000 (4) 20 JEE Main 2024 (01 Feb Shift 1) JEE Main Previous Year Paper

Q6. The mass of the moon is times the mass of a planet and its diameter times the diameter of a planet. If the 144 16 escape velocity on the planet is v, the escape velocity on the moon will be: (1) 𝑣 (2) 𝑣 3 4 𝑣 𝑣 (3) (4) 12 6

Q6. Four particles A, B, C, D of mass m2 , m, 2m, 4m, have same momentum, respectively. The particle with maximum kinetic energy is : (1) B (2) A (3) D (4) C

Q7. A real gas within a closed chamber at 27∘C undergoes the cyclic process as shown in figure. The gas obeys PV 3 = RT equation for the path A to B. The net work done in the complete cycle is (assuming R = 8 J/molK JEE Main 2024 (09 Apr Shift 2) JEE Main Previous Year Paper ): (1) 20 J (2) 205 J (3) −20 J (4) 225 J

Q7. A sphere of relative density σ and diameter D has concentric cavity of diameter d. The ratio of Dd , if it just floats on water in a tank is : (1) ( σ+2σ−2 ) 1/3 (2) ( σ−1σ )1/3 (3) σ−1 1/3 (4) σ+1 1/3 ( σ ) ( σ−1 )

Q7. If 𝑅 is the radius of the earth and the acceleration due to gravity on the surface of earth is 𝑔= 𝜋2 m s-2, then the length of the second's pendulum at a height ℎ= 2𝑅 from the surface of earth will be: 2 1 (1) m (2) m 9 9 (3) 4 m (4) 8 m 9 9

Q7. Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R) Assertion (A) : The property of body, by virtue of which it tends to regain its original shape when the external force is removed, is Elasticity. JEE Main 2024 (27 Jan Shift 2) JEE Main Previous Year Paper Reason (R) : The restoring force depends upon the bonded inter atomic and inter molecular force of solid. 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 true and (R) is the correct (4) Both (A) and (R) are true but (R) is not the explanation (A) correct explanation of (A)

Q7. Pressure inside a soap bubble is greater than the pressure outside by an amount : (given : R = Radius of bubble S = Surface tension of bubble) (1) 2S (2) 4R R S (3) S (4) 4 S R R

Q7. Given below are two statements: Statement I : If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will be smaller in hot water. Statement II : If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will be smaller in cold water. In the light of the above statements, choose the most appropriate 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. Two planets A and B having masses m1 and m2 move around the sun in circular orbits of r1 and r2 radii respectively. If angular momentum of A is L and that of B is 3 L, the ratio of time period ( TBTA ) is: (1) r2 32 (2) 1 m2 3 27 ( m1 ) ( r1 ) (3) m1 3 (4) r1 3 27( m2 ) ( r2 )

Q7. An artillery piece of mass 𝑀1 fires a shell of mass 𝑀2 horizontally. Instantaneously after the firing, the ratio of kinetic energy of the artillery and that of the shell is : 𝑀1 𝑀2 (1) (2) ( 𝑀1 + 𝑀2 ) 𝑀1 (3) 𝑀2 (4) 𝑀1 ( 𝑀1 + 𝑀2 ) 𝑀2

Q7. Young's modules of material of a wire of length L and cross-sectional area A is Y . If the length of the wire is doubled and cross-sectional area is halved then Young's modules will be: (1) Y (2) 4Y 4 (3) Y (4) 2Y

Q7. Given below are two statements : Statement I : The contact angle between a solid and a liquid is a property of the material of the solid and liquid as well. Statement II : The rise of a liquid in a capillary tube does not depend on the inner radius of the tube. In the light of the above statements, choose the correct answer from the options given below: (1) Statement I is true but Statement II is false. (2) Statement I is false but Statement II is true. (3) Both Statement I and Statement II are false. (4) Both Statement I and Statement II are true.

Q7.Match List-I with List-II : List-I List-II (A) A force that restores an elastic body of unit area to its original state (I) Bulk modulus (B) Two equal and opposite forces parallel to opposite faces (II) Young's modulus Forces perpendicular everywhere to the surface per unit area (C) (III) Stress same everywhere (D) Two equal and opposite forces perpendicular to opposite faces (IV) Shear modulus Choose the correct answer from the options given below : (1) (A)-(IV), (B)-(II), (C)-(III), (D)-(I) (2) (A)-(III), (B)-(IV), (C)-(I), (D)-(II) (3) (A)-(II), (B)-(IV), (C)-(I), (D)-(III) (4) (A)-(III), (B)-(I), (C)-(II), (D)-(IV)

Q7. Given below are two statements : Statement (I) : Viscosity of gases is greater than that of liquids. Statement (II) : Surface tension of a liquid decreases due to the presence of insoluble impurities. In the light of the above statements, choose the most appropriate answer from the options given below : (1) Statement I is correct but statement II is incorrect (2) Statement I is incorrect but Statement II is correct (3) Both Statement I and Statement II are incorrect (4) Both Statement I and Statement II are correct Q8. 0. 08 kg air is heated at constant volume through 5°C. The specific heat of air at constant volume is 0. 17 kcal kg−1 °C−1 and 1 J = 4. 18 joule cal−1 . The change in its internal energy is approximately. (1) 318 J (2) 298 J (3) 284 J (4) 142 J

Q7. A cube of ice floats partly in water and partly in kerosene oil. The ratio of volume of ice immersed in water to that in kerosene oil (specific gravity of Kerosene oil = 0.8, specific gravity of ice = 0.9) JEE Main 2024 (08 Apr Shift 2) JEE Main Previous Year Paper (1) 1 : 1 (2) 5 : 4 (3) 8 : 9 (4) 9 : 10