Practice Questions

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.Match List I with List II Chose the correct answer from the options given below (1) A −IV, B −I, C −III, D −II (2) A −II, B −III, C −I, D −IV (3) A −IV, B −III, C −I, D −II (4) A −I, B −II, C −III, D −IV

Q11.Two charged conducting spheres of radii a and b are connected to each other by a conducting wire. The ratio of charges of the two spheres respectively is: (1) a b v (2) √ab (3) b (4) ab a

Q11.A capacitor has air as dielectric medium and two conducting plates of area 12 cm2 and they are 0.6 cm apart. When a slab of dielectric having area 12 cm2 and 0.6 cm thickness is inserted between the plates, one of the conducting plates has to be moved by 0.2 cm to keep the capacitance same as in previous case. The dielectric constant of the slab is : (Given ϵ0 = 8.834 × 10−12 F/m ) (1) 1 (2) 1.33 (3) 0.66 (4) 1.50

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. 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

Q11. A galvanometer of resistance 100Ω when connected in series with 400Ω measures a voltage of upto 10 V. The value of resistance required to convert the galvanometer into ammeter to read upto 10 A is x × 10−2Ω. The value of x is : (1) 2 (2) 800 (3) 20 (4) 200

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.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

Q12.An electric toaster has resistance of 60 Ω at room temperature (27 °C). The toaster is connected to a 220 V supply. If the current flowing through it reaches 2. 75 A, the temperature attained by toaster is around: (if α = 2 × 10−4 ∘C−1 ) (1) 694°C (2) 1235°C (3) 1694°C (4) 1667°C

Q12.In the given circuit, the current in resistance R3 is: (1) 1 A (2) 1. 5 A (3) 2 A (4) 2. 5 A

Q12.The ratio of heat dissipated per second through the resistance 5Ω and 10Ω in the circuit given below is : (1) 1 : 2 (2) 2 : 1 (3) 4 : 1 (4) 1 : 1 −

Q12.An alternating voltage 𝑉( 𝑡) = 220sin100𝜋t volt is applied to a purely resistive load of 50 𝛺. The time taken for the current to rise from half of the peak value to the peak value is: (1) 5 ms (2) 3 . 3 ms (3) 7 . 2 ms (4) 2 . 2 ms

Q12.The fundamental frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. If length of the open pipe is 60 cm, the length of the closed pipe will be : (1) 60 cm (2) 45 cm (3) 30 cm (4) 15 cm

Q12. Match List-I with List-II : Choose the correct answer from the options given below : (1) (A)-(IV), (B)-(I), (C)-(III), (D)-(II) (2) (A)-(I), (B)-(III), (C)-(II), (D)-(IV) (3) (A)-(III), (B)-(IV), (C)- (I), (D)-(II) (4) (A)-(III), (B)-(I), (C)-(IV), (D)-(II)

Q12.A square loop of side 15 cm being moved towards right at a constant speed of 2 cm/s as shown in figure. The front edge enters the 50 cm wide magnetic field at t = 0 . The value of induced emf in the loop at t = 10 s will JEE Main 2024 (09 Apr Shift 2) JEE Main Previous Year Paper be : (1) 0.3mV (2) zero (3) 4.5mV (4) 3mV

Q12.The value of unknown resistance (x) for which the potential difference between B and D will be zero in the arrangement shown, is : (1) 3Ω (2) 42Ω (3) 9Ω (4) 6Ω

Q12.Water boils in an electric kettle in 20 minutes after being switched on. Using the same main supply, the length of the heating element should be _____ to _____ times of its initial length if the water is to be boiled in 15 minutes. (1) decreased, 3/4 (2) increased, 4/3 (3) decreased, 4/3 (4) increased, 3/4

Q12.A capacitor of capacitance 100 μF is charged to a potential of 12 V and connected to a 6. 4 mH inductor to produce oscillations. The maximum current in the circuit would be : (1) 3. 2 A (2) 1. 5 A (3) 2. 0 A (4) 1. 2 A

Q12.If the collision frequency of hydrogen molecules in a closed chamber at 27∘C is Z, then the collision frequency of the same system at 127∘C is : (1) √3 2 z (2) √32 Z (3) 3 4 Z (4) 34 Z

Q12.An electric bulb rated 50 W −200 V is connected across a 100 V supply. The power dissipation of the bulb is: (1) 25 W (2) 12.5 W (3) 50 W (4) 100 W

Q12.A galvanmeter has a coil of resistance 200Ω with a full scale deflection at 20μA. The value of resistance to be added to use it as an ammeter of range (0 −20)mA is ; (1) 0.40Ω (2) 0.20Ω (3) 0.50Ω (4) 0.10Ω

Q12.In a metre-bridge when a resistance in the left gap is 2 Ω and unknown resistance in the right gap, the balance length is found to be 40 cm . On shunting the unknown resistance with 2 Ω, the balance length changes by: (1) 22 . 5 cm (2) 20 cm (3) 62 . 5 cm (4) 65 cm JEE Main 2024 (01 Feb Shift 2) JEE Main Previous Year Paper

Q12.The resistance per centimeter of a meter bridge wire is 𝑟, with 𝑋 𝛺 resistance in left gap. Balancing length from left end is at 40 cm with 25 𝛺 resistance in right gap. Now the wire is replaced by another wire of 2𝑟 resistance per centimeter. The new balancing length for same settings will be at (1) 20 cm (2) 10 cm (3) 80 cm (4) 40 cm

Q12.The reading in the ideal voltmeter 𝑉 shown in the given circuit diagram is: (1) 5 V (2) 10 V (3) 0 V (4) 3 V