Practice Questions

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)

Q25.A point source is emitting sound waves of intensity 16 × 10-8 W m-2 at the origin. The difference in intensity (magnitude only) at two points located at a distances of 2 m and 4 m from the origin respectively will be ________ × 10-8 W m-2.

Q26.A charge of 4. 0 μC is moving with a velocity of 4. 0 × 106 m s−1 along the positive y-axis under a magnetic field B of strength T. The force acting on the charge is xˆi N. The value of x is ______. (2ˆk)

Q26.In the following circuit, the battery has an emf of 2 V and an internal resistance of 𝛺. The power 3 consumption in the entire circuit is ______ W.

Q26.The current in a conductor is expressed as 𝐼= 3𝑡2 + 4𝑡3, where 𝐼 is in Ampere and 𝑡 is in second. The amount of electric charge that flows through a section of the conductor during 𝑡= 1 s to 𝑡= 2 s is ____________ C .

Q27.To determine the resistance (R) of a wire, a circuit is designed below. The V −I characteristic curve for this circuit is plotted for the voltmeter and the ammeter readings as shown in figure. The value of R is ______ Ω.

Q27.Two long, straight wires carry equal currents in opposite directions as shown in figure. The separation between the wires is 5. 0 cm. The magnitude of the magnetic field at a point P midway between the wires is _____ μT . (Given: μ0 = 4π × 10−7 T m A−1 )

Q27.A horizontal straight wire 5 m long extending from east to west falling freely at right angle to horizontal component of earth's magnetic field 0. 60 × 10−4 Wb m−2 . The instantaneous value of emf induced in the wire when its velocity is 10 m s−1 is _______ ×10−3 V . JEE Main 2024 (29 Jan Shift 2) JEE Main Previous Year Paper

Q28.The current in an inductor is given by I = (3t + 8) where t is in second. The magnitude of induced emf produced in the inductor is 12mV . The self-inductance of the inductor _____ mH .

Q28.The magnetic flux 𝜙 (in weber) linked with a closed circuit of resistance 8 𝛺 varies with time (in seconds) as 𝜙= 5𝑡2 −36𝑡+ 1. The induced current in the circuit at 𝑡 = 2 s is _______ A.

Q28.A rod of length 60 cm rotates with a uniform angular velocity 20rads−1 about its perpendicular bisector, in a uniform magnetic filed 0.5T . The direction of magnetic field is parallel to the axis of rotation. The potential difference between the two ends of the rod is _____V.

Q29.A parallel beam of monochromatic light of wavelength 5000 A is incident normally on a single narrow slit of width 0 . 001 mm. The light is focused by convex lens on screen, placed on its focal plane. The first minima will be formed for the angle of diffraction of ______ (degree). 𝛼

Q29.Two coherent monochromatic light beams of intensities I and 4I are superimposed. The difference between maximum and minimum possible intensities in the resulting beam is xI . The value of x is $_________.

Q29.In Young's double slit experiment, carried out with light of wavelength 5000\AA, the distance between the slits is 0.3 mm and the screen is at 200 cm from the slits. The central maximum is at x = 0 cm . The value of x for third maxima is _____ mm .

Q30.A nucleus has mass number 𝐴1 and volume 𝑉1. Another nucleus has mass number 𝐴2 and volume 𝑉2. If 𝑉2 relation between mass number is 𝐴2 = 4𝐴1, then = _______. 𝑉1

Q30.An electron of hydrogen atom on an excited state is having energy En = −0. 85 eV. The maximum number of allowed transitions to lower energy level is _______.

Q30.The radius of a nucleus of mass number 64 is 4 . 8 fermi. Then the mass number of another nucleus having radius of 4 fermi is 1000 where 𝑥 is _________. 𝑥,

Q31.The correct set of four quantum numbers for the valence electron of rubidium atom (Z = 37) is: (1) 5, 0, 0, + 12 (2) 5, 0, 1, + 12 (3) 5, 1, 0, + 12 (4) 5, 1, 1, + 12

Q31.The electronic configuration for Neodymium is: [Atomic Number for Neodymium 60] JEE Main 2024 (27 Jan Shift 1) JEE Main Previous Year Paper (1) [Xe] 4f 4 6s2 (2) [Xe] 5f 47s2 (3) [Xe] 4f 6 6s2 (4) [Xe] 4f 15d16s2

Q31.The number of moles of methane required to produce 11 gCO2( g) after complete combustion is : (Given molar mass of methane in gmol−1 : 16) (1) 0.35 (2) 0.5 (3) 0.75 (4) 0.25

Q31.Given below are two statements: Statement - I: Along the period, the chemical reactivity of the element gradually increases from group 1 to group 18 . Statement - II: The nature of oxides formed by group 1 element is basic while that of group 17 elements is acidic. In the the light above statements, choose the most appropriate from the questions given below: (1) Both statement I and Statement II are true. (2) Statement I is true but Statement II is False. (3) Statement I is false but Statement II is true. (4) Both Statement I and Statement II is false.

Q31.The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency ' A ' ×1012 hertz and that has a radiant intensity in that direction of ′ 1B′ watt per steradian. 'A' and 'B' are respectively (1) 540 and 683 (2) 450 and 683 (3) 450 and 1 (4) 540 and 1 683 683

Q31.The number of radial node/s for 3p orbital is: (1) 1 (2) 4 (3) 2 (4) 3

Q31.According to the wave-particle duality of matter by de-Broglie, which of the following graph plot presents most appropriate relationship between wavelength of electron λ and momentum of electron p ? JEE Main 2024 (01 Feb Shift 1) JEE Main Previous Year Paper (1) (2) (3) (4)

Q31.Combustion of glucose (C6H12O6) produces CO2 and water. The amount of oxygen (in g) required for the complete combustion of 900 g of glucose is : [Molar mass of glucose in gmol−1 = 180 ] (1) 480 (2) 800 (3) 960 (4) 32