Practice Questions

Q16.For a series LCR circuit, I vs ω curve is shown (a) To the left of ωr , the circuit is mainly capacitive. (b) To the left of ωr , the circuit is mainly inductive. (c) At ωr , impedance of the circuit is equal to the resistance of the circuit. (d) At ωr , impedance of the circuit is 0 . Choose the most appropriate answer from the options given below. (1) (a) and (d) only (2) (b) and (d) only (3) (a) and (c) only (4) (b) and (c) only

Q16.The two light beams having intensities 𝐼 and 9𝐼 interfere to produce a fringe pattern on a screen. The phase 𝜋 difference between the beams is at point 𝑃 and 𝜋 at point 𝑄. Then the difference between the resultant 2 intensities at 𝑃 and 𝑄 will be : (1) 2𝐼 (2) 6𝐼 (3) 5𝐼 (4) 7𝐼

Q16.Given below are two statements : Statement I: A time varying electric field is a source of changing magnetic field and vice-versa. Thus a disturbance in electric or magnetic field creates EM waves. Statement II: In a material medium, the EM wave travels with speed v = 1 . √μ0ϵ0 JEE Main 2022 (27 Jun Shift 2) JEE Main Previous Year Paper In the light of the above statements, choose the correct answer from the options given below. (1) Both statement I and statement II are true (2) Both statement I and statement II are false (3) Statement I is correct but statement II is false (4) Statement I is incorrect but statement II is true

Q16.A circuit element 𝑋 when connected to an AC supply of peak voltage 100 V gives a peak current of 5 A which is in phase with the voltage. A second element 𝑌 when connected to the same AC supply also gives the 𝜋 same value of peak current which lags behind the voltage by 2. If 𝑋 and 𝑌 are connected in series to the same supply, what will be the rms value of the current in ampere? (1) 10 (2) 5 √2 √2 5 (3) 5√2 (4) 2

Q16.The kinetic energy of emitted electron is E when the light incident on the metal has wavelength λ . To double the kinetic energy, the incident light must have wavelength: (1) hc (2) hcλ Eλ−hc Eλ+hc (3) hλ (4) hcλ Eλ+hc Eλ−hc

Q16.A light whose electric field vectors are completely removed by using a good polaroid, allowed to incident on the surface of the prism at Brewster's angle. Choose the most suitable option for the phenomenon related to the prism. (1) Reflected and refracted rays will be (2) Wave will propagate along the surface of prism. perpendicular to each other. (3) No refraction, and there will be total reflection of (4) No reflection. and there will be total transmission light. of light.

Q16.In young's double slit experiment, the fringe width is 12 mm. If the entire arrangement is placed in water of refractive index 4 , then the fringe width becomes (in mm) 3 (1) 16 (2) 9 (3) 48 (4) 12

Q16.Match List - I with List - II JEE Main 2022 (27 Jun Shift 1) JEE Main Previous Year Paper List-I List-II (a) Ultravoilet rays (i) Study crystal structure (b) Microwaves (ii) Greenhouse effect (c) Infrared waves (iii) Sterilizing surgical instrument (d) X -rays (iv) Radar system (1) (a) −(iii), (b)(iv), (c) −(ii), (d) −(i) (2) (a) −(iii), (b)(i), (c) −(ii), (d) −(iv) (3) (a) −(iv), (b)(iii), (c) −(ii), (d) −(i) (4) (a) −(iii), (b)(iv), (c) −(i), (d) −(ii)

Q16.A proton, a deuteron and an α-particle with same kinetic energy enter into a uniform magnetic field at right angle to magnetic field. The ratio of the radii of their respective circular paths is : (1) 1 : √2 : √2 (2) 1 : √2 : 1 (3) √2 : 1 : 1 (4) None of these

Q16.In young's double slit experiment performed using a monochromatic light of wavelength λ , when a glass plate (μ = 1. 5) of thickness xλ is introduced in the path of the one of the interfering beams, the intensity at the position where the central maximum occurred previously remains unchanged. The value of x will be (1) 3 (2) 2 (3) 1. 5 (4) 0. 5

Q16.The Q-value of a nuclear reaction and kinetic energy of the projectile particle, Kp are related as (1) Q = Kp (2) (Kp + Q) < 0 (3) Q < Kp (4) (Kp + Q) > 0

Q16.A metallic conductor of length 1 m rotates in a vertical plane parallel to east-west direction about one of its end with angular velocity 5 rad s−1 . If the horizontal component of earth's magnetic field is 0. 2 × 10−4 T, then emf induced between the two ends of the conductor is (1) 5μV (2) 50μV (3) 5 mV (4) 50 mV

Q17.Consider a light ray travelling in air is incident into a medium of refractive index √2n. The incident angle is twice that of refracting angle. Then, the angle of incidence will be (1) sin−1 √n (2) cos−1( √2n ) (3) sin−1(√2n) (4) 2 cos−1(√n2 )

Q17.The equation 𝜆= nm can be used to find the de-Broglie wavelength of an electron. In this equation 𝑥 x stands for : Where, 𝑚= mass of electron 𝑃= momentum of electron 𝐾= Kinetic energy of electron 𝑉= Accelerating potential in volts for electron (1) √𝑚𝐾 (2) √𝑃 (3) √𝐾 (4) √𝑉

Q17.A convex lens has power P . It is cut into two halves along its principal axis. Further one piece (out of the two halves) is cut into two halves perpendicular to the principal axis (as shown in figures). Choose the incorrect option for the reported pieces. (1) Power of L1 = P2 (2) Power of L2 = P2 (3) Power of L3 = P2 (4) Power of L1 = P

Q17.Find the ratio of energies of photons produced due to transition of an election of hydrogen atom from its(i) second permitted energy level to the first level, and (ii) the highest permitted energy level to the first permitted level. (1) 3 : 4 (2) 4 : 3 (3) 1 : 4 (4) 4 : 1

Q17.A proton, a neutron, an electron and an 𝛼-particle have same energy. If 𝜆𝑝, 𝜆𝑛, 𝜆𝑒 and 𝜆𝛼 are the de Broglie's wavelengths of proton, neutron, electron and 𝛼 particle respectively, then choose the correct relation from the following (1) 𝜆𝑝= 𝜆𝑛> 𝜆𝑒> 𝜆𝛼 (2) 𝜆𝑎< 𝜆𝑛< 𝜆𝑝< 𝜆𝑒 (3) 𝜆𝑒< 𝜆𝑝= 𝜆𝑛> 𝜆𝛼 (4) 𝜆𝑒= 𝜆𝑝= 𝜆𝑛= 𝜆𝛼. 𝑅

Q17.An electron (mass m) with an initial velocity →v= v0ˆi(v0 > 0) is moving in an electric field → E = −E0ˆi(E0 > 0) where E0 is constant. If at t = 0 , de-Broglie wavelength is λ0 = mv0h , then its de-Broglie wavelength after time t is given by (1) λ0 (2) λ0(1 + eE0tmv0 ) (3) λ0t (4) λ0eE0t (1+ mv0 )

Q17.Given below are two statements : Statement-I: The reactance of an ac circuit is zero. It is possible that the circuit contains a capacitor and an inductor. JEE Main 2022 (24 Jun Shift 2) JEE Main Previous Year Paper Statement-II: In ac circuit, the average power delivered by the source never becomes zero. In the light of the above statements, choose the correct answer from the options given below (1) Both Statement I and Statement II are true. (2) Both Statement I and Statement II are false. (3) Statement I is true but Statement II is false. (4) Statement I is false but Statement II is true.

Q17.The speed of light in media ′A′ and ′B′ are 2. 0 × 1010 cm s−1 and 1. 5 × 1010 cm s−1 respectively. A ray of light enters from the medium B to A at an incident angle ′θ′. If the ray suffers total internal reflection, then (1) θ = sin−1( 34 ) (2) θ > sin−1( 32 ) (3) θ > sin−1( 34 ) (4) θ < sin−1( 43 )

Q17.Time taken by light to travel in two different materials 𝐴 and 𝐵 of refractive indices 𝜇𝐴 and 𝜇𝐵 of same thickness is 𝑡1 and 𝑡2 respectively. If 𝑡2 - 𝑡1 = 5 × 10-10s and the ratio of 𝜇𝐴 to 𝜇𝐵 is 1: 2. Then the thickness of material, in meter is: (Given 𝑣𝐴 and 𝑣𝐵 are velocities of light in 𝐴 and 𝐵 materials respectively). (1) 5 × 10-10𝑣𝐴 m (2) 5 × 10-10 m (3) 1 . 5 × 1010 m (4) 5 × 10-10𝑣𝐵 m

Q17.With reference to the observations in photo-electric effect, identify the correct statements from below: A. The square of maximum velocity of photoelectrons varies linearly with frequency of incident light. B. The value of saturation current increases on moving the source of light away from the metal surface. C. The maximum kinetic energy of photo-electrons decreases on decreasing the power of LED (light emitting diode) source of light. D. The immediate emission of photo-electrons out of metal surface can not be explained by particle nature of light/electromagnetic waves. E. Existence of threshold wavelength can not be explained by wave nature of light/electromagnetic waves. Choose the correct answer from the options given below: (1) A and B only (2) A and E only (3) C and E only (4) D and E only

Q17.Using Young's double slit experiment, a monochromatic light of wavelength 5000Å produces fringes of fringe width 0. 5 mm. If another monochromatic light of wavelength 6000Å is used and the separation between the slits is doubled, then the new fringe width will be (1) 0. 5 mm (2) 1. 0 mm (3) 0. 6 mm (4) 0. 3 mm

Q17.A nucleus of mass 𝑀 at rest splits into two parts having masses 𝑀' and 2𝑀' 𝑀' < 𝑀. The ratio of de Broglie 3 3 wavelength of two parts will be (1) 1: 2 (2) 2: 1 (3) 1: 1 (4) 2: 3

Q17.An electron with speed v and a photon with speed c have the same de-Broglie wavelength. If the kinetic energy and momentum of electron are Ee and Pe and that of photon are Eph and Pph respectively. Which of the JEE Main 2022 (26 Jun Shift 1) JEE Main Previous Year Paper following is correct? (1) Eph Ee = 2cv (2) EphEe = 2cv (3) pph pe = 2cv (4) pphpe = 2cv