Practice Questions

Q19. Identify the logic gate given in the circuit: (1) NAND-gate (2) AND gate (3) NOR gate (4) OR- gate

Q19.An electron rotates in a circle around a nucleus having positive charge Ze. Correct relation between total energy (E) of electron to its potential energy (U) is : (1) E = U (2) 2E = U (3) 2E = 3U (4) E = 2U

Q19.The output (Y ) of logic circuit given below is 0 only when : (1) A = 1, B = 0 (2) A = 0, B = 1 (3) A = 0, B = 0 (4) A = 1, B = 1

Q19.A light emitting diode (LED) is fabricated using GaAs semiconducting material whose band gap is 1.42eV. The wavelength of light emitted from the LED is : (1) 1400 nm (2) 650 nm (3) 875 nm (4) 1243 nm

Q20.Identify the logic operation performed by the given circuit. JEE Main 2024 (31 Jan Shift 1) JEE Main Previous Year Paper (1) NAND (2) NOR (3) OR (4) AND

Q20.Given below are two statements: one is labelled as Assertion(A) and the other is labelled as Reason (R). Assertion (A) : In Vernier calliper if positive zero error exists, then while taking measurements, the reading taken will be more than the actual reading. Reason (R) : The zero error in Vernier Calliper might have happened due to manufacturing defect or due to rough handling. In the light of the above statements, choose the correct answer from the options given below : (1) Both (A) and (R) are correct and (R) is the (2) Both (A) and (R) are correct but (R) is not the correct explanation of (A) correct explanation of (A) (3) (A) is true but (R) is false (4) (A) is false but (R) is true

Q20.Identify the physical quantity that cannot be measured using spherometer : (1) Radius of curvature of concave surface (2) Specific rotation of liquids (3) Thickness of thin plates (4) Radius of curvature of convex surface

Q20.If 50 Vernier divisions are equal to 49 main scale divisions of a travelling microscope and one smallest reading of main scale is 0 . 5 mm the Vernier constant of travelling microscope is: (1) 0 . 1 mm (2) 0 . 1 cm (3) 0 . 01 cm (4) 0 . 01 mm → →

Q20.While measuring diameter of wire using screw gauge the following readings were noted. Main scale reading is 1 mm and circular scale reading is equal to 42 divisions. Pitch of screw gauge is 1 mm and it has 100 divisions on circular scale. The diameter of the wire is x mm . The value of x is : 50 (1) 21 (2) 142 (3) 71 (4) 42

Q20.The value of net resistance of the network as shown in the given figure is : (1) 6Ω (2) (5/2)Ω (3) (15/4)Ω (4) (30/11)Ω

Q21.A vector has magnitude same as that of 𝐴= 3 ^j + 4 ^j and is parallel to 𝐵= 4 ^i + 3 ^j. The 𝑥 and 𝑦 components of this vector in first quadrant are 𝑥 and 3 respectively where x = ____.

Q21.A particle is moving in one dimension (along 𝑥 axis) under the action of a variable force. It's initial position was 16 m right of origin. The variation of its position 𝑥 with time 𝑡 is given as 𝑥= – 3𝑡3 + 18𝑡2 + 16𝑡, where 𝑥 is in m and 𝑡 is in s . The velocity of the particle when its acceleration becomes zero is _________ m s-1 . JEE Main 2024 (01 Feb Shift 1) JEE Main Previous Year Paper

Q21.For three vectors →A = (−x^i −6^j −2^k), →B = (−^i + 4^j + 3^k) and →C = (−8^i −^j + 3^k), if →A ⋅(→B × →C) = 0, then value of x is _________

Q21.A bus moving along a straight highway with speed of 72 km/h is brought to halt within 4s after applying the brakes. The distance travelled by the bus during this time (Assume the retardation is uniform) is _____m.

Q21.The maximum height reached by a projectile is 64 m. If the initial velocity is halved, the new maximum height of the projectile is _____ m . JEE Main 2024 (05 Apr Shift 2) JEE Main Previous Year Paper

Q22.A force (3x2 + 2x −5)N displaces a body from x = 2 m to x = 4 m . Work done by this force is ________ J .

Q23.If average depth of an ocean is 4000 m and the bulk modulus of water is 2 × 109 N m−2 , then fractional compression ΔV of water at the bottom of ocean is α × 10−2 . The value of α is _______, (Given, V g = 10 m s−2, ρ = 1000 kg m−3 )

Q24.A simple harmonic oscillator has an amplitude A and time period 6π second. Assuming the oscillation starts from its mean position, the time required by it to travel from x = A to x = √32 A will be πx s, where x = _______.

Q24.A particle is doing simple harmonic motion of amplitude 0.06 m and time period 3.14 s. The maximum velocity of the particle is _______ cm/s.

Q24.At room temperature (27∘C), the resistance of a heating element is 50Ω. The temperature coefficient of the material is 2.4 × 10−4∘C−1 . The temperature of the element, when its resistance is 62Ω, is _____ ∘C.

Q24.The displacement of a particle executing SHM is given by x = 10 sin (wt + π3 )m. The time period of motion is 3.14 s. The velocity of the particle at t = 0 is ______ m/s.

Q24.A sonometer wire of resonating length 90 cm has a fundamental frequency of 400 Hz when kept under some tension. The resonating length of the wire with fundamental frequency of 600 Hz under same tension _____ cm .

Q24.A mass 𝑚 is suspended from a spring of negligible mass and the system oscillates with a frequency 𝑓1 . The frequency of oscillations if a mass 9𝑚 is suspended from the same spring is 𝑓2 . The value of 𝑓1 is _____ . 𝑓2

Q24.When the displacement of a simple harmonic oscillator is one third of its amplitude, the ratio of total energy to the kinetic energy is x , where x =_________. 8

Q25.The electric potential at the surface of an atomic nucleus ( 𝑍= 50 ) of radius 9 × 10-13 cm is 𝛼× 106 V. What is the value of 𝛼? (Charge of proton 1 . 6 × 10-19 C)