JEE Main 2022 June 25 Shift 1 Paper & Solutions - JEE MCQ

If force  acts on a particle having position vector , then the torque about the origin will be:

The height of any point P above the surface of earth is equal to diameter of earth. The value of acceleration due to gravity at point P will be:
(Given, g = acceleration due to gravity at the surface of earth)

The terminal velocity (v_t) of the spherical rain drop depends on the radius (r) of the spherical rain drop as:

The relation between root mean square speed (V_rms) and most probable speed (v_p) for the molar mass M of oxygen gas molecule at the temperature of 300 K will be:

n the figure, a very large plane sheet of positive charge is shown. P₁ and P₂ are two points at distance l and 2l from the charge distribution. If ^_σ is the surface charge density, then the magnitude of electric fields E₁ and E₂ at P₁ and P₂ respectively are:

Match List-I with List-II.

Choose the correct answer from the options given below:-

A long straight wire with a circular cross-section having radius R, is carrying a steady current I. The current I is uniformly distributed across this cross-section. Then the variation of magnetic field due to current I with distance r (r < R) from its centre will be

If wattless current flows in the AC circuit, then the circuit is:

The electric field in an electromagnetic wave is given by E = 56.5 sinω(t - x/c) NC^-1. Find the intensity of the wave if it is propagating along x-axis in the free space. (Given, ε₀= 8.85 × 10^-12 C² N^-1 m^-2)

The two light beams having intensities I and 9I interfere to produce a fringe pattern on a screen. The phase difference between the beams is π/2 at point P and π at point Q. Then the difference between the resultant intensities at P and Q will be:

A light wave is travelling linearly in a medium of dielectric constant 4, incident on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be (Given: relative permeability of medium μ_r= 1)

Given below are two statements:
Statement I: Davisson-Germer experiment establishes the wave nature of electrons.
Statement II: If electrons have wave nature, they can interfere and show diffraction.
In the light of the above statements, choose the correct answer from the options given below:

The ratio for the speed of the electron in the 3^rd orbit of He⁺ to the speed of the electron in the 3^rd orbit of hydrogen atom will be:

The photodiode is used to detect the optical signals. These diodes are preferably operated in reverse biased mode because

A signal of 100 THz frequency can be transmitted with maximum efficiency by:

The difference of speed of light in the two media A and B (v_A - v_B) is 2.6 × 10⁷ m/s. If the refractive index of medium B is 1.47, then the ratio of refractive index of medium B to medium A is: (Given: Speed of light in vacuum, c = 3 × 10⁸ ms^-1)

A teacher in his physics laboratory allotted an experiment to determine the resistance (G) of a galvanometer. Students took the observations for 1/3 deflection in the galvanometer. Which of the below is true for measuring value of G?

A uniform chain of 6 m length is placed on a table such that a part of its length is hanging over the edge of the table. The system is at rest. The coefficient of static friction between the chain and the surface of the table is 0.5, the maximum length of the chain hanging from the table is _________ m.

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.

The velocity of upper layer of water in a river is 36 kmh^-1. Shearing stress between horizontal layers of water is 10^-3 Nm^-2. Depth of the river is __________ m. (Coefficient of viscosity of water is 10^-2 Pa.s)

A steam engine intakes 50 g of steam at 100°C per minute and cools it down to 20°C. If latent heat of vaporization of steam is 540 cal g^-1, then the heat rejected by the steam engine per minute is _______ × 10³ cal.

The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is 20 cm, the length of the open organ pipe is _____ cm.

The equivalent capacitance between points A and B in below shown figure will be ________ μF.

A resistor develops 300 J of thermal energy in 15 s, when a current of 2 A is passed through it. If the current increases to 3 A, the energy developed in 10 s is ___________ J.

The total current supplied to the circuit as shown in figure by the 5 V battery is __________ A.

The current in a coil of self inductance 2.0 H is increasing according to I = 2sin(t²)A. The amount of energy spent during the period when current changes from 0 to 2 A is _______ J.

A force on an object of mass 100 g is  N. The position of that object at t = 2 s is  N. The position of that object at t = 2 s is  m after starting from rest. The value of a/b will be ____________.