Practice Questions

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. 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. 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 )

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. 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

Q9. The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become. (1) 4 hours (2) 6 hours (3) 12 hours (4) 3 hours

Q9. For a periodic motion represented by the equation 𝑦= sinω𝑡+ cosω𝑡 the amplitude of the motion is (1) 1 (2) 0 . 5 (3) 2 (4) √2

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. 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. A flask contains Hydrogen and Argon in the ratio 2 : 1 by mass. The temperature of the mixture is 30°C . The ratio of average kinetic energy per molecule of the two gases ( KhydrogenKargon ) is: (Given : Atomic Weight of Ar = 39. 9 ) (1) 2 (2) 1 (3) 39. 9 (4) 39.92

Q9. A hydraulic automobile lift is designed to lift vehicles of mass 5000 kg. The area of cross section of the cylinder carrying load is 250 cm2 . The maximum pressure the smaller piston would have to bear is [Assume g = 10 m s−2 ] (1) 20 × 106 Pa (2) 2 × 105 Pa (3) 200 × 106 Pa (4) 2 × 106 Pa

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. Every planet revolves around the sun in an elliptical orbit : A. The force acting on a planet is inversely proportional to square of distance from sun. B. Force acting on planet is inversely proportional to product of the masses of the planet and the sun. C. The centripetal force acting on the planet is directed away from the sun. D. The square of time period of revolution of planet around sun is directly proportional to cube of semi-major axis of elliptical orbit. Choose the correct answer from the options given below : (1) A and D only (2) C and D only (3) B and C only (4) A and C only

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. 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

Q10.If two charges 𝑞1and 𝑞2 are separated with distance 𝑑 and placed in a medium of dielectric constant 𝑘. What will be the equivalent distance between charges in air for the same electrostatic force? (1) 𝑑√𝑘 (2) 𝑘√𝑑 (3) 1 . 5𝑑√𝑘 (4) 2𝑑√𝑘

Q10.A steel wire with mass per unit length 7 . 0 × 10 – 3 kg m – 1 is under tension of 70 N. The speed of transverse waves in the wire will be: (1) 200π m s-1 (2) 100 m s-1 (3) 10 m s-1 (4) 50 m s-1

Q10.Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion (A) : Steel is used in the construction of buildings and bridges. Reason (R) : Steel is more elastic and its elastic limit is high. In the light of above statements, choose the most appropriate answer from the options given below (1) Both A and R are correct and R is the correct (2) Both A and R are correct but R is NOT the explanation of A correct explanation of A (3) A is correct but R is not correct (4) A is not correct but R is correct

Q10.Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: When you squeeze one end of a tube to get toothpaste out from the other end, Pascal’s principle is observed. Reason R: A change in the pressure applied to an enclosed incompressible fluid is transmitted undiminished to every portion of the fluid and to the walls of its container. In the light of the above statements, choose the most appropriate answer from the options given below. (1) Both A and R are correct but R is NOT the (2) A is not correct but R is correct correct explanation of A (3) A is correct but R is not correct (4) Both A and R is correct and R is the correct explanation of A

Q10.The number of air molecules per cm3 is increased from 3 × 1019 to 12 × 1019 . The ratio of collision frequency of air molecules before and after the increase in number respectively is : (1) 0 . 75 (2) 1 . 25 (3) 0 . 50 (4) 0 . 25

Q11.In a metallic conductor, under the effect of applied electric field, the free electrons of the conductor (1) Drift from higher potential to lower potential (2) Move with the uniform velocity throughout from lower potential to higher potential (3) Move in the straight line paths in the same (4) Move in the curved paths from lower potential to direction higher potential

Q11.The thermodynamic process, in which internal energy of the system remains constant is (1) Isochoric (2) Adiabatic (3) Isothermal (4) Isobaric

Q11.The equivalent capacitance of the combination shown is (1) 2 C (2) 5 C 3 C (3) (4) 4 C 2

Q11.The electric field due to a short electric dipole at a large distance (r) from center of dipole on the equatorial plane varies with distance as : (1) r (2) 1 r2 (3) 1 (4) 1r r3