Practice Questions

Q9. Two vessels A and B are of the same size and are at same temperature. A contains 1 g of hydrogen and B contains 1 g of oxygen. PA and PB are the pressures of the gases in A and B respectively, then PA is : PB (1) 16 (2) 8 (3) 4 (4) 32

Q9. The volume of an ideal gas (γ = 1.5) is changed adiabatically from 5 litres to 4 litres. The ratio of initial pressure to final pressure is: JEE Main 2024 (09 Apr Shift 1) JEE Main Previous Year Paper (1) 16 (2) 4 25 5 (3) 8 (4) 2 5√5 √5

Q9. The total kinetic energy of 1 mole of oxygen at 27°C is : [Use universal gas constant (R) = 8 . 31 J mol-1 K-1 ] (1) 6845 . 5 J (2) 5942 . 0 J (3) 6232 . 5 J (4) 5670 . 5 J

Q9.Match List I with List II : (1) (A)-(III), (B)-(IV), (C)-(I), (D)-(II) (2) (A)-(II), (B)-(I), (C)-(IV), (D)-(III) (3) (A)-(I), (B)-(II), (C)-(III), (D)-(IV) (4) (A)-(I), (B)-(IV), (C)-(II), (D)-(III)

Q9. If n is the number density and d is the diameter of the molecule, then the average distance covered by a molecule between two successive collisions (i.e. mean free path) is represented by : (1) √2nπd2 (2) 1 √2nπd2 (3) 1 (4) 1 √2nπd2 √2n2π2d2

Q10.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason(R) Assertion (A) : Work done by electric field on moving a positive charge on an equipotential surface is always zero. Reason (R) : Electric lines of forces are always perpendicular to equipotential surfaces. 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 correct but (R) is not correct correct explanation of (A) (3) (A) is not correct but (R) is correct (4) Both (A) and (R) are correct and (R) is the correct explanation of (A)

Q10.The vehicles carrying inflammable fluids usually have metallic chains touching the ground : (1) To protect tyres from catching dirt from ground (2) To alert other vehicles (3) It is a custom (4) To conduct excess charge due to air friction to ground and prevent sparking

Q10.In simple harmonic motion, the total mechanical energy of given system is E . If mass of oscillating particle P is doubled then the new energy of the system for same amplitude is: (1) E (2) E/√2 (3) 2E (4) E√2

Q10.Force between two point charges 𝑞1 and 𝑞2 placed in vacuum at 𝑟 cm apart is 𝐹. Force between them when placed in a medium having dielectric 𝐾= 5 at 𝑟 cm apart will be: 5 𝐹 (1) (2) 5𝐹 25 (3) 𝐹 (4) 25𝐹 5

Q10.The given figure represents two isobaric processes for the same mass of an ideal gas, then (1) 𝑃2 ≥𝑃1 (2) 𝑃2 > 𝑃1 (3) 𝑃1 = 𝑃2 (4) 𝑃1 > 𝑃2

Q10.The electrostatic potential due to an electric dipole at a distance r varies as : (1) r (2) 1 r2 (3) 1 (4) 1 r3 r

Q10.A plane progressive wave is given by y = 2 cos 2π(330t −x)m . The frequency of the wave is : (1) 330 Hz (2) 660 Hz (3) 340 Hz (4) 165 Hz

Q10.A mixture of one mole of monoatomic gas and one mole of a diatomic gas (rigid) are kept at room temperature (27∘C). The ratio of specific heat of gases at constant volume respectively is: (1) 7 (2) 3 5 5 (3) 5 (4) 3 3 2

Q10.On celcius scale the temperature of body increases by 40∘C . The increase in temperature on Fahrenheit scale is : (1) 68∘F (2) 75∘F (3) 72∘F (4) 70∘F

Q11.A wire of resistance R and length L is cut into 5 equal parts. If these parts are joined parallely, then resultant resistance will be : (1) R (2) R 25 5 (3) 25R (4) 5R

Q11.When a potential difference 𝑉 is applied across a wire of resistance 𝑅, it dissipates energy at a rate 𝑊. If the wire is cut into two halves and these halves are connected mutually parallel across the same supply, the energy dissipation rate will become: 1 1 (1) W (2) W 4 2 (3) 2 W (4) 4 W JEE Main 2024 (30 Jan Shift 2) JEE Main Previous Year Paper

Q11.A potential divider circuit is shown in figure. The output voltage V0 is (1) 4 V (2) 2 mV (3) 0. 5 V (4) 12 mV JEE Main 2024 (30 Jan Shift 1) JEE Main Previous Year Paper

Q11.An electric field is given by (6ˆi + 5ˆj + 3ˆk) YZ-plane(in SI unit) is: (1) 90 (2) 150 (3) 180 (4) 60

Q11.By what percentage will the illumination of the lamp decrease if the current drops by 20%? (1) 46% (2) 26% (3) 36% (4) 56%

Q11. The parameter that remains the same for molecules of all gases at a given temperature is : (1) kinetic energy (2) momentum (3) mass (4) speed

Q11.Wheatstone bridge principle is used to measure the specific resistance 𝑆1 of given wire, having length 𝐿, radius 𝜋𝑟2 𝑟. If X is the resistance of wire, then specific resistance is : 𝑆1 = 𝑋 𝐿. If the length of the wire gets doubled then the value of specific resistance will be : 𝑆1 (1) (2) 2 S1 4 (3) 𝑆1 (4) 𝑆1 2

Q11.A galvanometer 𝐺 of 2𝛺 resistance is connected in the given circuit. The ratio of charge stored in 𝐶1 and 𝐶2 is: 2 3 (1) (2) 3 2 1 (3) 1 (4) 2

Q11.Ques: σ is the uniform surface charge density of a thin spherical shell of radius R. The electric field at any point on the surface of the spherical shell is : (1) σ/ϵoR (2) σ/ϵo (3) σ/4ϵo (4) σ/2ϵo

Q11.The number of electrons flowing per second in the filament of a 110 W bulb operating at 220 V is : ( Given e = 1.6 × 10−19C) (1) 6.25 × 1017 (2) 1.25 × 1019 (3) 6.25 × 1018 (4) 31.25 × 1017 JEE Main 2024 (06 Apr Shift 2) JEE Main Previous Year Paper

Q12.A wire of length 10 cm and radius √7 × 10−4 m connected across the right gap of a meter bridge. When a resistance of 4. 5 Ω is connected on the left gap by using a resistance box, the balance length is found to be at 60 cm from the left end. If the resistivity of the wire is R × 10−7 Ω m , then value of R is : (1) 63 (2) 70 (3) 66 (4) 35