JEE Main 2022 June 24 Shift 2 Paper & Solutions - JEE MCQ

Two identical charged particles each having a mass 10 g and charge 2.0 × 10^-7 C are placed on a horizontal table with a separation of L between them such that they stay in limited equilibrium. If the coefficient of friction between each particle and the table is 0.25, find the value of L. [Use g = 10 ms^-2]

A Carnot engine takes 5000 kcal of heat from a reservoir at 727°C and gives heat to a sink at 127°C. The work done by the engine is

Two massless springs with spring constants 2k and 9k carry 50 g and 100 g masses at their free ends. These two masses oscillate vertically such that their maximum velocities are equal. Then the ratio of their respective amplitude will be

What will be the most suitable combination of three resistors A = 2Ω, B = 4Ω, C = 6Ω so that (22/3)Ω is equivalent resistance of combination?

The soft-iron is a suitable material for making an electromagnet. This is because soft-iron has:

A proton, a deuteron and an α-particle with same kinetic energy enter into a uniform magnetic field at right angle to magnetic field. The ratio of the radii of their respective circular paths is:

Given below are two statements:
Statement I: The reactance of an ac circuit is zero. It is possible that the circuit contains a capacitor and an inductor.
Statement II: In ac circuit, the average power delivered by the source never becomes zero.
In the light of the above statements, choose the correct answer from the options given below.

Potential energy as a function of r is given by U =  where r is the interatomic distance, A and B are positive constants. The equilibrium distance between the two atoms will be:

An object of mass 5 kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of 10 N throughout the motion. The ratio of time of ascent to the time of descent will be equal to [Use g = 10 ms^-2]

A fly wheel is accelerated uniformly from rest and rotates through 5 rad in the first second. The angle rotated by the fly wheel in the next second will be:

A 100 g of iron nail is hit by a 1.5 kg hammer striking at a velocity of 60 ms^-1. What will be the rise in the temperature of the nail if one fourth of energy of the hammer goes into heating the nail?
[Specific heat capacity of iron = 0.42 Jg^-1 °C^-1]

If the charge on a capacitor is increased by 2 C, the energy stored in it increases by 44%. The original charge on the capacitor is (in C)

A long cylindrical volume contains a uniformly distributed charge of density ρ. The radius of cylindrical volume is R. A charge particle (q) revolves around the cylinder in a circular path. The kinetic energy of the particle is:

An electric bulb is rated as 200 W. What will be the peak magnetic field at 4 m distance produced by the radiation coming from this bulb? Consider this bulb as a point source with 3.5% efficiency.

The light of two different frequencies whose photons have energies 3.8 eV and 1.4 eV respectively, illuminate a metallic surface whose work function is 0.6 eV successively. The ratio of maximum speeds of emitted electrons for the two frequencies respectively will be

Two light beams of intensities in the ratio of 9 : 4 are allowed to interfere. The ratio of the intensity of maxima and minima will be:

In Bohr's atomic model of hydrogen, let K, P and E are the kinetic energy, potential energy and total energy of the electron, respectively. Choose the correct option when the electron undergoes transitions to a higher level:

A body is projected from the ground at an angle of 45° with the horizontal. Its velocity after 2 s is 20 ms^-1. The maximum height reached by the body during its motion is ________ m. (Use g = 10 ms^-2). (In integers)

An antenna is placed in a dielectric medium of dielectric constant 6.25. If the maximum size of that antenna is 5.0 mm, it can radiate a signal of minimum frequency of __________ GHz. (Given: μ_r = 1 for dielectric medium) (In integers)

A potentiometer wire of length 10 m and resistance 20Ω is connected in series with a 25 V battery and an external resistance 30Ω. A cell of emf E in secondary circuit is balanced by 250 cm long potentiometer wire. The value of E (in volts) is x/10. The value of x is __________. (In integers)

Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given by:

The amplitude of the particle at x = 4/3 cm will be __________ cm. (In integers)

In the given circuit, the value of current I_L will be __________ mA. (When R_L = 1 kΩ) (In integers)

A sample contains 10^-2 kg each of two substances A and B with half lives 4 s and 8 s, respectively. The ratio of their atomic weights is 1 : 2. The ratio of the amounts of A and B after 16 s is x/100. The value of x is ________. (In integers)

A ray of light is incident at an angle of incidence 60° on the glass slab of refractive index √3. After refraction, the light ray emerges out from other parallel faces and lateral shift between incident ray and emergent ray is 4√3cm. The thickness of the glass slab is ______ cm. (In integers)

A circular coil of 1000 turns each with area 1 m² is rotated about its vertical diameter at the rate of one revolution per second in a uniform horizontal magnetic field of 0.07 T. The maximum voltage generation will be _______ V. (In integers)

A monoatomic gas performs a work of Q/4, where Q is the heat supplied to it. The molar heat capacity of the gas will be ____ R during this transformation, where R is the gas constant.(In integers)

In an experiment to verify Newton's law of cooling, a graph is plotted between the temperature difference (ΔT) of the water and surroundings and time as shown in figure. The initial temperature of water is taken as 80°C. The value of t₂ as mentioned in the graph will be ______. (In integers)