JEE Main 2022 June 25 Shift 2 Paper & Solutions - JEE MCQ

A solid metallic cube having total surface area 24 m² is uniformly heated. If its temperature is increased by 10°C, calculate the increase in volume of the cube.
(Given α = 5.0 × 10^-4 °C^-1).

A copper block of mass 5.0 kg is heated to a temperature of 500°C and is placed on a large ice block. What is the maximum amount of ice that can melt?
[Specific heat of copper: 0.39 J g-1°C^-1 and latent heat of fusion of water: 335 J g^-1]

The ratio of specific heats (C_p/C_v) in terms of degree of freedom (f) is given by:

For a particle in uniform circular motion, the acceleration  at any point P(R, θ) on the circular path of radius R is (when θ is measured from the positive x-axis and v is uniform speed):

Two metallic plates form a parallel plate capacitor. The distance between the plates is 'd'. A metal sheet of thickness d/2 and of area equal to the area of each plate is introduced between the plates. What will be the ratio of the new capacitance to the original capacitance of the capacitor?

Two cells of same emf but different internal resistances r₁ and r₂ are connected in a series with a resistance R. The value of resistance R, for which the potential difference across second cell is zero, is:

Given below are two statements:
Statement-I: Susceptibilities of paramagnetic and ferromagnetic substances increase with decrease in temperature.
Statement-II: Diamagnetism is a result of orbital motions of electrons developing magnetic moments opposite to the applied magnetic field.
Choose the correct answer from the options given below.

A long solenoid carrying a current produces a magnetic field B along its axis. If the current is doubled and the number of turns per cm is halved, the new value of magnetic field will be equal to

A sinusoidal voltage V(t) = 210 sin 3000 t volt is applied to a series LCR circuit in which L = 10 mH, C = 25 μF and R = 100 Ω. The phase difference (Φ) between the applied voltage and the resultant current will be:

The electromagnetic waves travel in a medium at a speed of 2.0 × 10⁸ m/s. The relative permeability of the medium is 1.0. The relative permittivity of the medium will be:

The interference pattern is obtained with two coherent light sources of intensity ratio 4 : 1. And the ratio  is 5/x.  Then, the value of x will be equal to:

A light whose electric field vectors are completely removed by using a good polaroid, allowed to incident on the surface of the prism at Brewster's angle. Choose the most suitable option for the phenomenon related to the prism.

A proton, a neutron, an electron and an α-particle have same energy. If λ_p, λ_n, λ_e and λ_α are the de-Broglie's wavelengths of proton, neutron, electron and α particle, respectively then choose the correct relation from the following:

Which of the following figure represents the variation of In (R/R₀) with In A (if R = radius of a nucleus and A = its mass number)

Identify the logic operation performed by the given circuit:

Match List I with List II.

Choose the correct answer from the following options:

If n represents the actual number of deflections in a converted galvanometer of resistance G and shunt resistance S, then the total current I when its figure of merit is K will be

For z = a²x³ y^1/2,where 'a' is a constant. If percentage error in measurement of 'x' and 'y' are 4% and 12%, respectively, then the percentage error for 'z' will be _______ %.

A curve in a level road has a radius 75 m. The maximum speed of a car turning this curved road can be 30 m/s without skidding. If radius of curved road is changed to 48 m and the coefficient of friction between the tyres and the road remains same, then maximum allowed speed would be ______ m/s.

A block of mass 200 g is kept stationary on a smooth inclined plane by applying a minimum horizontal force F = N as shown in figure.

The value of x = ________.

Moment of Inertia (M.I.) of four bodies having same mass 'M' and radius '2R' are as follows:
l1 = M.I. of solid sphere about its diameter
l2 = M.I. of solid cylinder about its axis
I3 = M.I. of solid circular disc about its diameter
I4 = M.I. of thin circular ring about its diameter
If 2(I₂ + I₃) + I₄ = x⋅I₁, then the value of x will be _________.

Two satellites S₁ and S₂ are revolving in circular orbits around a planet with radius R₁ = 3200 km and R₂ = 800 km, respectively. The ratio of speed of satellite S₁ to the speed of satellite S₂ in their respective orbits would be 1/x where x =

When a gas filled in a closed vessel is heated by raising the temperature by 1°C, its pressure increases by 0.4%. The initial temperature of the gas is ______ K.

27 identical drops are charged at 22 V each. They combine to form a bigger drop. The potential of the bigger drop will be _________ V.

The length of a given cylindrical wire is increased to double of its original length. The percentage increase in the resistance of the wire will be ______%.

In a series LCR circuit, the inductance, capacitance and resistance are L = 100 mH, C = 100 μF and R = 10 Ω, respectively. They are connected to an AC source of voltage 220 V and frequency of 50 Hz. The approximate value of current in the circuit will be _____ A.

In an experiment of CE configuration of n-p-n transistor, the transfer characteristics are observed as given in figure.

If the input resistance is 200Ω and output resistance is 60Ω, the voltage gain in this experiment will be __________.