Practice Questions

Q10.Two moles of a monoatomic gas is mixed with six moles of a diatomic gas. The molar specific heat of the mixture at constant volume is : 9 7 (1) 4𝑅 (2) 4𝑅 (3) 3 (4) 5 2𝑅 2𝑅

Q10.Two identical conducting spheres P and S with charge Q on each, repel each other with a force 16 N. A third identical uncharged conducting sphere R is successively brought in contact with the two spheres. The new force of repulsion between P and S is : (1) 1 N (2) 6 N (3) 12 N (4) 4 N

Q10.The specific heat at constant pressure of a real gas obeying PV 2 = RT equation is: (1) R 3 + CV (2) CV + R (3) CV + 2VR (4) R

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.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.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 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.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.Two charges of 5Q and −2Q are situated at the points (3a, 0) and (−5a, 0) respectively. The electric flux through a sphere of radius 4a having centre at origin is: (1) 2Q (2) 5Q ε0 ε0 (3) 7Q (4) 3Q ε0 ε0

Q10. N moles of a polyatomic gas (f = 6) must be mixed with two moles of a monoatomic gas so that the mixture behaves as a diatomic gas. The value of N is: (1) 6 (2) 3 (3) 4 (4) 2 N C−1 . The electric flux through a surface area 30ˆi m2 lying in

Q10.Given below are two statements : Statement I : When a capillary tube is dipped into a liquid, the liquid neither rises nor falls in the capillary. The contact angle may be 0∘ . Statement II : The contact angle between a solid and a liquid is a property of the material of the solid and liquid as well. In the light of the above statement, choose the correct answer from the options given below. (1) Both Statement I and Statement II are false (2) Both Statement I and Statement II are true (3) Statement I is false but Statement II is true (4) Statement I is true and Statement II is false

Q10.A particle of charge -𝑞 and mass 𝑚 moves in a circle of radius 𝑟 around an infinitely long line charge of linear density +𝜆. Then time period will be given as: (Consider 𝑘 as Coulomb's constant) (1) 𝑇2 = 4𝜋2 2𝑘𝜆𝑞𝑟3𝑚 (2) 𝑇= 2𝜋𝑟√ 2𝑘𝜆𝑞𝑚 (3) 𝑇= 1 𝑚 (4) 𝑇= 1 2𝑘𝜆𝑞 2𝜋𝑟√ 2𝑘𝜆𝑞 2𝜋√ 𝑚

Q10.The effective resistance between A and B, if resistance of each resistor is R, will be (1) 8R (2) 5R 3 3 (3) 4R (4) 2 R 3 3

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 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

Q11.A capacitor is made of a flat plate of area A and a second plate having a stair-like structure as shown in figure. If the area of each stair is A and the height is d, the capacitance of the arrangement is : 3 (1) 13ϵoA (2) 11ϵoA 17d 18 d (3) 18ϵoA (4) 11ϵoA 11 d 20 d

Q11.A charge q is placed at the center of one of the surface of a cube. The flux linked with the cube is: (1) q (2) q 2ϵ0 8ϵ0 (3) Zero (4) q 4ϵ0

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 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.A proton and a deutron ( q = +e, m = 2.0u) having same kinetic energies enter a region of uniform magnetic field →B, moving perpendicular to →B. The ratio of the radius rd of deutron path to the radius rp of the proton path is: (1) √2 : 1 (2) 1 : 1 (3) 1 : √2 (4) 1 : 2

Q11.Two identical capacitors have same capacitance 𝐶. One of them is charged to the potential 𝑉 and other to the potential 2𝑉. The negative ends of both are connected together. When the positive ends are also joined together, the decrease in energy of the combined system is : 1 (1) 4𝐶𝑉2 (2) 2𝐶𝑉2 (3) 12𝐶𝑉2 (4) 34𝐶𝑉2

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.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.P-T diagram of an ideal gas having three different densities ρ1, ρ2, ρ3 (in three different cases) is shown in the figure. Which of the following is correct : (1) ρ1 > ρ2 (2) ρ2 < ρ3 (3) ρ1 = ρ2 = ρ3 (4) ρ1 < ρ2

Q11. The heat absorbed by a system in going through the given cyclic process is : JEE Main 2024 (05 Apr Shift 1) JEE Main Previous Year Paper (1) 19.6 J (2) 61.6 J (3) 616 J (4) 431.2 J