Practice Questions

Q19.From the statements given below : (A) The angular momentum of an electron in 𝑛𝑡ℎ orbit is an integral multiple of ℎ. (B) Nuclear forces do not obey inverse square law. JEE Main 2024 (01 Feb Shift 2) JEE Main Previous Year Paper (C) Nuclear forces are spin dependent. (D) Nuclear forces are central and charge independent. (E) Stability of nucleus is inversely proportional to the value of packing fraction. Choose the correct answer from the options given below : (1) (A), (B), (C), (D) only (2) (A), (C), (D), (E) only (3) (A), (B), (C), (E) only (4) (B), (C), (D), (E) only

Q19.In the given circuit, the voltage across load resistance ( 𝑅𝐿) is: (1) 8 . 75 V (2) 9 . 00 V (3) 8 . 50 V (4) 14 . 00 V

Q19.The explosive in a Hydrogen bomb is a mixture of 1H2, 1H3 and 3Li6 in some condensed form. The chain reaction is given by 3Li6 + 0n1 →2He4 + 1H3; 1H2 + 1H3 →2He4 + 0n1 During the explosion the energy released is approximately [Given : M(Li) = 6. 01690 amu, M(1H2) = 2. 01471 amu, M(2He4) = 4. 00388 amu and 1 amu = 931. 5 MeV] (1) 28. 12 MeV (2) 12. 64 MeV (3) 16. 48 MeV (4) 22. 22 MeV

Q19.The output Y of following circuit for given inputs is : (1) Λ ⋅B(Λ + B) (2) 0 – (3) A ⋅B (4) A ⋅B

Q19.Least count of a vernier caliper is 20 N cm . The value of one division on the main scale is 1 mm . Then the number of divisions of main scale that coincide with N divisions of vernier scale is : (1) (2 N −1) (2) ( 2 2N−1N ) (3) ( 2 N−12 ) (4) ( 220N−1N )

Q19.The correct truth table for the following logic circuit is : (1) A B Y (2) A B Y 0 0 1 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 1 1 1 1 1 1 (3) A B Y (4) A B Y 0 0 1 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 1 1 0 1 1 1

Q19.Which of the following nuclear fragments corresponding to nuclear fission between neutron (10n) and uranium isotope (23592 U) is correct : (1) 144 56 Ba + 8936Kr + 410n (2) 14456 Ba + 8936Kr + 310n (3) 140 56 Xe + 9438Sr + 310n (4) 15351 Sb + 9941Nb + 310n

Q19.The truth table of the given circuit diagram is : JEE Main 2024 (27 Jan Shift 2) JEE Main Previous Year Paper (1) A B Y (2) A B Y 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 1 0 (3) A B Y (4) A B Y 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 1 0

Q19.The acceptor level of a p-type semiconductor is 6eV. The maximum wavelength of light which can create a hole would be : Given hc = 1242eVnm. (1) 414 nm (2) 103.5 nm (3) 207 nm (4) 407 nm

Q19.If the wavelength of the first member of Lyman series of hydrogen is 𝜆. The wavelength of the second member will be 27 32 (1) 32𝜆 (2) 27𝜆 (3) 27 𝜆 (4) 5 5 27𝜆

Q19.In the given circuit if the power rating of Zener diode is 10 mW, the value of series resistance 𝑅𝑠 to regulate the input unregulated supply is: 3 (1) 𝑘𝛺 (2) 10 𝛺 7 (3) 1 𝑘𝛺 (4) 10 𝑘𝛺 Q20.10 divisions on the main scale of a Vernier calliper coincide with 11 divisions on the Vernier scale. If each division on the main scale is of 5 units, the least count of the instrument is : (1) 1 (2) 10 2 11 (3) 50 (4) 5 11 11

Q19.The output of the given circuit diagram is JEE Main 2024 (31 Jan Shift 2) JEE Main Previous Year Paper (1) (2) (3) (4)

Q20.Conductivity of a photodiode starts changing only if the wavelength of incident light is less than 660 nm . X The band gap of photodiode is found to be eV . The value of X is: 8 (Given h = 6 . 6 × 10-34 J s, e = 1 . 6 × 10-19 C) (1) 15 (2) 11 (3) 13 (4) 21

Q20.A vernier callipers has 20 divisions on the vernier scale, which coincides with 19th division on the main scale. The least count of the instrument is 0.1 mm. One main scale division is equal to _____ mm . (1) 0.5 (2) 2 (3) 5 (4) 1

Q20.A Zener diode of breakdown voltage 10 V is used as a voltage regulator as shown in the figure. The current through the Zener diode is (1) 50 mA (2) 0 (3) 30 mA (4) 20 mA

Q20.In the given circuit, the breakdown voltage of the Zener diode is 3. 0 V. What is the value of Iz ? JEE Main 2024 (29 Jan Shift 1) JEE Main Previous Year Paper (1) 3. 3 mA (2) 5. 5 mA (3) 10 mA (4) 7 mA

Q20.Which of the diode circuit shows correct biasing used for the measurement of dynamic resistance of p-n junction diode : (1) (2) (3) (4)

Q20.One main scale division of a vernier caliper is equal to m units. If nth division of main scale coincides with (n + 1)th division of vernier scale, the least count of the vernier caliper is : (1) n (2) 1 (n+1) (n+1) (3) m (4) m (n+1) n(n+1) 5 for |→a| = n|→b| The integer

Q20.The truth table for this given circuit is: JEE Main 2024 (29 Jan Shift 2) JEE Main Previous Year Paper (1) (2) (3) (4)

Q20.Following gates section is connected in a complete suitable circuit. For which of the following combination, bulb will glow (ON) : (1) A = 0, B = 0, C = 0, D = 1 (2) A = 0, B = 1, C = 1, D = 1 (3) A = 1, B = 0, C = 0, D = 0 (4) A = 1, B = 1, C = 1, D = 0

Q20.There are 100 divisions on the circular scale of a screw gauge of pitch 1 mm . With no measuring quantity in between the jaws, the zero of the circular scale lies 5 divisions below the reference line. The diameter of a wire is then measured using this screw gauge. It is found that 4 linear scale divisions are clearly visible while 60 divisions on circular scale coincide with the reference line. The diameter of the wire is : (1) 3.35 mm (2) 4.65 mm (3) 4.55 mm (4) 4.60 mm

Q20. In the truth table of the above circuit the value of X and Y are : (1) 0,0 (2) 1,1 (3) 1,0 (4) 0,1

Q20.The diameter of a sphere is measured using a vernier caliper whose 9 divisions of main scale are equal to 10 divisions of vernier scale. The shortest division on the main scale is equal to 1 mm . The main scale reading is 2 cm and second division of vernier scale coincides with a division on main scale. If mass of the sphere is 8.635 g, the density of the sphere is: (1) 2.0 g/cm3 (2) 1.7 g/cm3 (3) 2.2 g/cm3 (4) 2.5 g/cm3 JEE Main 2024 (08 Apr Shift 1) JEE Main Previous Year Paper −−−

Q20.The measured value of the length of a simple pendulum is 20 cm with 2 mm accuracy. The time for 50 oscillations was measured to be 40 seconds with 1 second resolution. From these measurements, the accuracy in the measurement of acceleration due to gravity is 𝑁%. The value of 𝑁 is: (1) 4 (2) 8 (3) 6 (4) 5

Q21.A particle initially at rest starts moving from reference point 𝑥= 0 along 𝑥-axis, with velocity 𝑣 that varies as 𝑣= 4√𝑥 m s-1. The acceleration of the particle is _____ m s-2.