Practice Questions

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

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.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

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 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.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

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.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

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 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.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 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 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.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.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)

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.

Q25.An electric field, E = √6 passes through the surface of 4 m2 area having unit vector ^n = ( √6 ) electric flux for that surface is ______ Vm .

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 .

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.

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 )