Practice Questions

Q26. A B Y 0 0 1 0 1 1 1 0 0 1 1 1 To obtain the given truth table, following logic gate should be placed at G: 2025 (22 Jan Shift 2) JEE Main Previous Year Paper (1) OR Gate (2) AND Gate (3) NOR Gate (4) NAND Gate

Q26.A galvanometer having a coil of resistance 30Ω need 20 mA of current for full-scale deflection. If a maximum current of 3 A is to be measured using this galvanometer, the resistance of the shunt to be added to the galvanometer should be 30 X Ω, where X is Options (1) 596 (2) 149 (3) 298 (4) 447

Q26.Which of the following figure represents the relation between Celsius and Fahrenheit temperatures ? (1) (2) (3) (4) ∣∣ 2025 (24 Jan Shift 2) JEE Main Previous Year Paper

Q27.A ball having kinetic energy KE, is projected at an angle of 60∘ from the horizontal. What will be the kinetic energy of ball at the highest point of its flight ? (1) (KE) (2) (KE) 8 2 (3) (KE) (4) (KE) 16 4

Q28.The position of a particle moving on x-axis is given by x(t) = A sin t + B cos2 t + Ct2 + D , where t is time. The dimension of ABC is D (1) L2T −2 (2) L2 (3) L (4) L3 T−2

Q28.The output of the circuit is low (zero) for : (A) X = 0, Y = 0 (B) X = 0, Y = 1 (C) X = 1, Y = 0 (D) X = 1, Y = 1 Choose the correct answer from the options given below : (1) (B), (C) and (D) only (2) (A), (B) and (C) only (3) (A), (C) and (D) only (4) (A), (B) and (D) only

Q28.The velocity-time graph of an object moving along a straight line is shown in figure. What is the distance covered by the object between t = 0 to t = 4 s ? (1) 30 m (2) 11 m (3) 10 m (4) 13 m

Q28.Two charges 7μc and −4μc are placed at (−7 cm, 0, 0) and (7 cm, 0, 0) respectively. Given, ϵ0 = 8.85 × 10−12C2 N−1 m−2 , the electrostatic potential energy of the charge configuration is : (1) -1.8 J (2) -2.0 J (3) -1.5 J (4) -1.2 J

Q28.The torque due to the force (2^i + ^j + 2^k) about the origin, acting on a particle whose position vector is (^i + ^j + ^k), would be (1) ^i −^k (2) ^i + ^k (3) ^j + ^k (4) ^i −^j + ^k

Q28.Two bodies A and B of equal mass are suspended from two massless springs of spring constant k1 and k2 , respectively. If the bodies oscillate vertically such that their amplitudes are equal, the ratio of the maximum velocity of A to the maximum velocity of B is (1) k1 (2) k2 √k1k2 (3) (4) k2 k1 √k2k1

Q30.A massless spring gets elongated by amount x1 under a tension of 5 N . Its elongation is x2 under the tension of 7 N . For the elongation of (5x1 −2x2), the tension in the spring will be, (1) 39 N (2) 15 N (3) 11 N (4) 20 N

Q30. The truth table for the circuit given below is : (1) (2) (3) (4)

Q30.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Electromagnetic waves carry energy but not momentum. Reason ( R): Mass of a photon is zero. In the light of the above statements, choose the most appropriate answer from the options given below : (1) Both (A) and (R) are true and (R) is the correct (2) Both (A) and (R) are true but (R) is not the explanation of (A) correct explanation of (A) (3) (A) is false but (R) is true (4) (A) is true but ( R) is false

Q31.Two projectiles are fired with same initial speed from same point on ground at angles of (45∘−α) and (45∘+ α), respectively, with the horizontal direction. The ratio of their maximum heights attained is : (1) 1−tan α (2) 1−sin 2α 1+tan α 1+sin 2α (3) 1+sin 2α (4) 1+sin α 1−sin 2α 1−sin α

Q32.If λ and K are de Broglie wavelength and kinetic energy, respectively, of a particle with constant mass. The correct graphical representation for the particle will be 2025 (29 Jan Shift 1) JEE Main Previous Year Paper (1) (2) (3) (4)

Q33.What is the relative decrease in focal length of a lens for an increase in optical power by 0.1 D from 2.5D ? ['D' stands for dioptre] (1) 0.01 (2) 0.04 (3) 0.40 (4) 0.1

Q33.A concave mirror of focal length f in air is dipped in a liquid of refractive index μ. Its focal length in the liquid will be: (1) μf (2) f (3) f (4) f (μ−1) μ 2025 (23 Jan Shift 2) JEE Main Previous Year Paper

Q33.Which of the following circuits represents a forward biased diode? Choose the correct answer from the options given below : (1) (A) and (D) only (2) (B), (D) and (E) only (3) (C) and (E) only (4) (B), (C) and (E) only

Q34. What is the current through the battery in the circuit shown below (1) 1.5 A (2) 0.5 A (3) 0.25 A (4) 1.0 A Q35.5 The refractive index of the material of a glass prism is √3. The angle of minimum deviation is equal to the angle of the prism. What is the angle of the prism? (1) 60∘ (2) 58∘ (3) 48∘ (4) 50∘

Q34.A force F = α + βx2 acts on an object in the x -direction. The work done by the force is 5 J when the object is displaced by 1 m . If the constant α = 1 N then β will be (1) 15 N/m2 (2) 12 N/m2 (3) 8 N/m2 (4) 10 N/m2

Q34.A small uncharged conducting sphere is placed in contact with an identical sphere but having 4 × 10−8C charge and then removed to a distance such that the force of repulsion between them is 9 × 10−3 N . The distance between them is (Take 1 as 9 × 109inSI units) 4πϵo (1) 3 cm (2) 2 cm (3) 4 cm (4) 1 cm 2025 (24 Jan Shift 2) JEE Main Previous Year Paper

Q34.A 400 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water ? (Given : density of water = 1000 kg m−3 ) (1) 1400 cm3 (2) 600 cm3 (3) 4000 cm3 (4) 400 cm3

Q35.The number of spectral lines emitted by atomic hydrogen that is in the 4th energy level, is (1) 3 (2) 1 (3) 6 (4) 0

Q36. LIST-I LIST-II A. Pressure varies inversely with volume of an ideal gas. I. Adiabatic process B. Heat absorbed goes partly to increase internal energy and partly to do work. II. Isochoric process C. Heat is neither absorbed nor released by a system. III. Isothermal process D. No work is done on or by a gas. IV. Isobaric process (1) A-III, B-IV, C-I, D-II (2) A-I, B-IV, C-II, D-III (3) A-III, B-I, C-IV, D-II (4) A-I, B-III, C-II, D-IV

Q36.A wire of resistance R is bent into an equilateral triangle and an identical wire is bent into a square. The ratio of resistance between the two end points of an edge of the triangle to that of the square is Options (1) 8/9 (2) 27/32 (3) 32/27 (4) 9/8