Practice Questions

Q23.The pressure P1 and density d1 of diatomic gas (γ = 75 ) changes suddenly to P2(> P1) and d2 respectively during an adiabatic process. The temperature of the gas increases and becomes____times of its initial temperature. (given d2 = 32) d1

Q23.A monoatomic gas performs a work of Q where Q is the heat supplied to it. The molar heat capacity of the gas 4 will be _____ R during this transformation. Where R is the gas constant.

Q23.In an experiment to determine the velocity of sound in air at room temperature using a resonance tube, the first resonance is observed when the air column has a length of 20. 0 cm for a tuning fork of frequency 400 Hz is used. The velocity of the sound at room temperature is 336 m s−1 . The third resonance is observed when the air column has a length of _____ cm

Q23.A wire of length 𝐿 and radius 𝑟 is clamped rigidly at one end. When the other end of the wire is pulled by a force 𝐹, its length increases by 5 cm. Another wire of the same material of length 4 L and radius 4𝑟 is pulled by a force 4 𝐹 under same conditions. The increase in length of this wire is _____ cm.

Q23.A square aluminium (shear modulus is 25 × 109 Nm−2 ) slab of side 60 cm and thickness 15 cm is subjected to a shearing force (on its narrow face) of 18. 0 × 104 N . The lower edge is riveted to the floor. The displacement of the upper edge is _____ μm.

Q23.A block of mass 200 g is kept stationary on a smooth inclined plane by applying a minimum horizontal force 𝐹= √𝑥 N as shown in figure. JEE Main 2022 (25 Jun Shift 2) JEE Main Previous Year Paper The value of 𝑥= _____.

Q23.In a carnot engine, the temperature of reservoir is 527°C and that of sink is 200 K . If the workdone by the engine when it transfers heat from reservoir to sink is 12000 kJ , the quantity of heat absorbed by the engine from reservoir is _____ ×106 J.

Q23.A body is performing simple harmonic with an amplitude of 10 cm. The velocity of the body was tripled by air Jet when it is at 5 cm from its mean position. The new amplitude of vibration is √x cm. The value of x is _____ .

Q23.A 0 . 5 kg block moving at a speed of 12 ms-1 compresses a spring through a distance 30 cm when its speed is halved. The spring constant of the spring will be _____ Nm-1 JEE Main 2022 (25 Jun Shift 1) JEE Main Previous Year Paper

Q23.The distance of centre of mass from end A of a one dimensional rod (AB) having mass density ρ = kg m−1 and length L (in meter) is 3Lα m. The value of α is _____ (where x is the distance ρ0(1 −x2L2 ) form end A ) JEE Main 2022 (28 Jul Shift 2) JEE Main Previous Year Paper

Q23.The elongation of a wire on the surface of the earth is 10−4 m. The same wire of same dimensions is elongated by 6 × 10−5 m on another planet. The acceleration due to gravity on the planet will be _____ m s−2 . (Take acceleration due to gravity on the surface of earth = 10 m s−2 )

Q23.A disc of mass 1 kg and radius R is free of rotate about a horizontal axis passing through its centre and perpendicular to the plane of disc. A body of same mass as that of disc is fixed at the highest point of the disc. Now the system is released, when the body comes to the lowest position, its angular speed will be 4√x3R rad s−1 where x = _____ .

Q23.A liquid of density 750 kg m−3 flows smoothly through a horizontal pipe that tapers in cross-sectional area from A1 = 1. 2 × 10−2 m2 to A2 = A12 . The pressure difference between the wide and narrow sections of the pipe is 4500 Pa . The rate of flow of liquid is _____ ×10−3 m3 s−1 .

Q23.Four identical discs each of mass '𝑀' and diameter '𝑎' are arranged in a small plane as shown in figure. If the 𝑥 will be _____ . moment of inertia of the system about 𝑂𝑂' is 4𝑀𝑎2.𝑥 Then, the value of

Q24.A tunning fork of frequency 340 Hz resonates in the fundamental mode with an air column of length 125 cm in a cylindrical tube closed at one end. When water is slowly poured in it, the minimum height of water required for observing resonance once again is _____ cm. (Velocity of sound in air is 340 ms−1 )

Q24.A spherical soap bubble of radius 3 cm is formed inside another spherical soap bubble of radius 6 cm. If the internal pressure of the smaller bubble of radius 3 cm in the above system is equal to the internal pressure of the another single soap bubble of radius r cm. The value of r is _____

Q24.The diameter of an air bubble which was initially 2 mm, rises steadily through a solution of density $1750 \mathrm{~kg} / \mathrm{m}^3$ at the rate of $0.35 \mathrm{~cm} / \mathrm{s}$. Coefficient of viscosity of the solution is ______ (Assume mass of the bubble to be negligible) (Answer in Poise to the nearest integer)

Q24.A geyser heats water flowing at a rate of 2. 0 kg per minute from 30°C to 70°C . If geyser operates on a gas burner, the rate of combustion of fuel will be _____ g min−1 . JEE Main 2022 (26 Jun Shift 2) JEE Main Previous Year Paper [Heat of combustion = 8 × 103 Jg−1 , Specific heat of water = 4. 2 Jg−1 ∘C−1 ]

Q24.The elastic behaviour of material for linear stress and linear strain, is shown in the figure. The energy density for a linear strain of 5 × 10−4 is _____ kJ m−3 . Assume that material is elastic upto the linear strain of 5 × 10−4 , JEE Main 2022 (26 Jun Shift 1) JEE Main Previous Year Paper

Q24.As per given figures, two springs of spring constants 𝐾 and 2 K are connected to mass m. If the period of oscillation in figure (a) is 3 s, then the period of oscillation in figure (b) will be √𝑥 s. The value of 𝑥 is _____ .

Q24.One mole of a monoatomic gas is mixed with three moles of a diatomic gas. The molecular specific heat of mixture at constant volume is α2 R J mol K−1 ; then the value of α will be _____ . (Assume that the given 4 diatomic gas has no vibrational mode.)

Q24.The displacement current of 4. 425 μA is developed in the space between the plates of parallel plate capacitor when voltage is changing at a rate of 106 V s−1 . The area of each plate of the capacitor is 40 cm2 . The distance between each plate of the capacitor is x × 10−3 m . The value of x is , (Permittivity of free space, ε0 = 8. 85 × 10−12 C2 N−1 m−2 ) _______

Q24.A capacitor of capacitance 50 pF is charged by 100 V source. It is then connected to another uncharged identical capacitor. Electrostatic energy loss in the process is____ nJ .

Q24.The position vector of 1 kg object is →r= (3ˆi −ˆj) m and its velocity →v= (3ˆj ˆk) its angular momentum is √x N m s, where x is

Q24.A mass 0. 9 kg, attached to a horizontal spring, executes SHM with an amplitude A1 . When this mass passes through its mean position, then a smaller mass of 124 g is placed over it and both masses move together with amplitude A2 . If the ratio A2A1 is α−1α , then the value of α will be _____ .