Practice Questions

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 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.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 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.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.The velocity of a small ball of mass 0 . 3 g and density 8 g cc-1 when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 1 . 3 g cc-1, then the value of viscous force acting on the ball will be 𝑥× 10-4 N, the value of 𝑥 is _____ . [use 𝑔= 10 m s-2]

Q23.A uniform heavy rod of mass 20 kg. Cross sectional area 0 . 4 m2 and length 20 m is hanging from a fixed support. Neglecting the lateral contraction, the elongation in the rod due to its own weight is 𝑥× 10-9 m. The value of 𝑥 is _____ . (Given. Young's modulus 𝑌= 2 × 1011Nm-2 and 𝑔= 10 m s-2 )

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 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.A metre scale is balanced on a knife edge at its centre. When two coins, each of mass 10 g are put one on the top of the other at the 10. 0 cm mark the scale is found to be balanced at 40. 0 cm mark. The mass of the metre scale is found to be x × 10−2 kg. The value of x is _____ . Q24. 0. 056 kg of Nitrogen is enclosed in a vessel at a temperature of 127°C. The amount of heat required to double the speed of its molecules is_____ kcal. (Take R = 2 cal mole −1 K−1 )

Q23.A batsman hits back a ball of mass 0. 4 kg straight in the direction of the bowler without changing its initial speed of 15 m s−1 . The impulse imparted to the ball is _____ N s .

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 man of 60 kg is running on the road and suddenly jumps into a stationary trolly car of mass 120 kg. Then the trolly car starts moving with velocity 2 m s−1 . The velocity of the running man was _____ m s−1 , when he jumps into the car. + m s−1 . The magnitude of

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= _____.

Q24.Two waves executing simple harmonic motion travelling in the same direction with same amplitude and frequency are superimposed. The resultant amplitude is equal to the √3 times of amplitude of individual motions. The phase difference between the two motions is _____ (degree)

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 string of area of cross-section 4 mm2 and length 0. 5 is connected with a rigid body of mass 2 kg. The body is rotated in a vertical circular path of radius 0. 5 m. The body acquires a speed of 5 m s−1 at the bottom of the circular path. Strain produced in the string when the body is at the bottom of the circle is _____ ×10−5 . (Use Young's modulus 1011 N m−2 and g = 10 m s−2 )

Q24.A unit scale is to be prepared whose length does not change with temperature and remains 20 cm, using a bimetallic strip made of brass and iron each of different length. The length of both components would change in such a way that difference between their lengths remains constant. If length of brass is 40 cm and length of iron will be _____ cm. 𝛼iron = 1 . 2 × 10-5 K-1 and 𝛼brass = 1 . 8 × 10-5 K-1.

Q24.Nearly 10% of the power of a 110 W light bulb is converted to visible radiation. The change in average intensities of visible radiation, at a distance of 1 m from the bulb to a distance of 5 m is 𝑎× 10-2 W m-2. The value of '𝑎' will be

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 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.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.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 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