Practice Questions

Q21.A small particle moves to position 5 ^𝑖- 2 ^𝑗+ ^𝑘 from its initial position 2 ^𝑖+ 3 ^𝑗- 4 ^𝑘 under the action of force 5 ^𝑖+ 2 ^𝑗+ 7 ^𝑘 N. The value of work done will be ______ J.

Q21.An alternating voltage source V = 260 sin(628t) is connected across a pure inductor of 5 mH . Inductive reactance in the circuit is: (1) 3. 14Ω (2) 6. 28Ω (3) 0. 5Ω (4) 0. 318Ω

Q21.In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency of oscillator becomes x times its initial resonant frequency ω0 . The value of x is: (1) 1/4 (2) 16 (3) 1/16 (4) 4

Q21.A charge particle moving in magnetic field B, has the components of velocity along B as well as perpendicular to B. The path of the charge particle will be (1) helical path with the axis perpendicular to the (2) helical path with the axis along magnetic field B direction of magnetic field B (3) circular path (4) straight along the direction of magnetic field B

Q21.An emf of 0. 08 V is induced in a metal rod of length 10 cm held normal to a uniform magnetic field of 0. 4 T, when move with a velocity of: (1) 0. 5 m s−1 (2) 20 m s−1 (3) 3. 2 m s−1 (4) 2 m s−1

Q22.Which of the following are true? A. Speed of light in vacuum is dependent on the direction of propagation. B. Speed of light in a medium is independent of the wavelength of light. C. The speed of light is independent of the motion of the source. D. The speed of light in a medium is independent of intensity. Choose the correct answer from the question given below : (1) A and C only (2) B and D only (3) B and C only (4) C and D only

Q22.A solid cylinder is released from rest from the top of an inclined plane of inclination 30° and length 60 cm. If the cylinder rolls without slipping, its speed upon reaching the bottom of the inclined plane is ______ m s-1. (Given 𝑔= 10 m s-2)

Q22.An inductor of inductance 2 μH is connected in series with a resistance, a variable capacitor and an AC source of frequency 7 kHz. The value of capacitance for which maximum current is drawn into the circuit is x1 F , where the value of x is ______. (Take π = 227 )

Q22.In the given circuit, rms value of current (Irms) through the resistor R is : (1) 2 A (2) 21 A (3) 20 A (4) 2√2 A

Q23.A wire of length 1 m moving with velocity 8 m s−1 at right angles to a magnetic field of 2 T. The magnitude of induced emf, between the ends of wire will be ___________. (1) 20 V (2) 8 V (3) 12 V (4) 16 V

Q23.The waves emitted when a metal target is bombarded with high energy electrons are (1) Microwaves (2) Infrared rays (3) X-rays (4) Radio Waves

Q23.The ratio of average electric energy density and total average energy density of electromagnetic wave is: (1) 2 (2) 1 (3) 3 (4) 21

Q23.All electromagnetic wave is transporting energy in the negative z direction. At a certain point and certain time the direction of electric field of the wave is along positive y direction. What will be the direction of the magnetic field of the wave at that point and instant? JEE Main 2023 (25 Jan Shift 1) JEE Main Previous Year Paper (1) Positive direction of x (2) Positive direction of z (3) Negative direction of x (4) Negative direction of y

Q23.A vessel of depth d is half filled with oil of refractive index n1 and the other half is filled with water of refractive index n2. The apparent depth of this vessel when viewed from above will be- (1) 2d(n1+n2) (2) d(n1+n2) n1+n2 2n1n2 (3) dn1n2 (4) dn1n2 2(n1+n2) (n1+n2)

Q23.Match List I and List II List I List II A Microwaves I Physiotherapy B UV rays II Treatment of cancer JEE Main 2023 (31 Jan Shift 2) JEE Main Previous Year Paper C Infra-red rays III Lasik eye surgery D X-rays IV Aircraft navigation Choose the correct answer from the option given below: (1) A-II, B-IV, C-III, D-I (2) A-IV, B-I, C-II, D-III (3) A-IV, B-III, C-I, D-II (4) A-III, B-II, C-I, D-IV

Q23.A capacitor of capacitance 150. 0 μF is connected to an alternating source of emf given by E = 36 sin(120πt) V. The maximum value of current in the circuit is approximately equal to: (1) 2 A (2) √2 A (3) 2√2 A (4) 1 A √2 → →

Q23.Figure below shows a liquid being pushed out of the tube by a piston having area of cross section 2 . 0 cm2. The area of cross section at the outlet is 10 mm2. If the piston is pushed at a speed of 4 cm s-1, the speed of outgoing fluid is _____ cm s-1

Q23.The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by Ex = E0 sin(kz −ωt) By = B0 sin(kz −ωt) Then the correct relation between E0 and B0 is given by (1) E0B0 = ωk (2) E0 = kB0 (3) kE0 = ωB0 (4) ωE0 = kB0

Q24.A hole is drilled in a metal sheet. At 27 °C, the diameter of hole is 5 cm. When the sheet is heated to 177 °C, the change in the diameter of hole is 𝑑× 10-3 cm . The value of 𝑑 will be _____, if coefficient of linear expansion of the metal is 1 . 6 × 10-5 / ∘C

Q24.The energy density associated with electric field E and magnetic field B of an electromagnetic wave in free space is given by ( ε0− permittivity of free space, μ0− permeability of free space) (1) UE = 2ε0E2 , UB = 2μ0 B2 (2) UE = ε0E22 , UB = 2μ0B2 μ0B2 , UB = 2 (3) UE = ε0E22 , UB = μ0B22 (4) UE = 2ε0E2

Q24.When a beam of white light is allowed to pass through convex lens parallel to principal axis, the different colours of light converge at different point on the principle axis after refraction. This is called : (1) Scattering (2) Chromatic aberration (3) Spherical aberration (4) Polarisation

Q24.A steel rod has a radius of 20 mm and a length of 2 . 0 m . A force of 62 . 8 kN stretches it along its length. Young's modulus of steel is 2 . 0 × 1011N m-2. The longitudinal strain produced in the wire is _________ × 10-5. JEE Main 2023 (06 Apr Shift 1) JEE Main Previous Year Paper

Q24.A transverse harmonic wave on a string is given by 𝑦𝑥, 𝑡= 5 sin6𝑡+ 0 . 003𝑥 where 𝑥 and 𝑦 are in cm and 𝑡 in sec. The wave velocity is _________ m s-1.

Q24.In a reflecting telescope, a secondary mirror is used to: (1) reduce the problem of mechanical support (2) make chromatic aberration zero (3) move the eyepiece outside the telescopic tube (4) remove spherical aberration

Q25.Match List I and List II → → A Gauss’s Law in Electrostatics I ∮ E ⋅ dl = −dϕBdt → → B Faraday's Law II ∮ B ⋅d A = 0 → → C Gauss’s Law in Magnetism III ∮ B ⋅d l = μ0ic + μ0 ∈0 dϕEdt q D Ampere-Maxwell Law IV ∮→E ⋅d→s= ∈0 Choose the correct answer from the options given below : (1) A-IV, B-I, C-II, D-III (2) A-I, B-II, C-III, D-IV (3) A-III, B-IV, C-I, D-II (4) A-II, B-III, C-IV, D-I JEE Main 2023 (25 Jan Shift 2) JEE Main Previous Year Paper