NTA JEE Main 25th June 2022 Shift 2

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 $$V(t) = 210\sin 3000t$$ volt is applied to a series LCR circuit in which $$L = 10$$ mH, $$C = 25$$ $$\mu$$F and $$R = 100\Omega$$. The phase difference $$\Phi$$ between the applied voltage and resultant current will be

The electromagnetic waves travel in a medium at a speed of $$2.0 \times 10^8$$ m s$$^{-1}$$. 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 $$\frac{I_{max} + I_{min}}{I_{max} - I_{min}}$$ is $$\frac{5}{x}$$. 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 $$\alpha$$-particle have same energy. If $$\lambda_p, \lambda_n, \lambda_e$$ and $$\lambda_\alpha$$ are the de Broglie's wavelengths of proton, neutron, electron and $$\alpha$$ particle respectively, then choose the correct relation from the following

Which of the following figure represents the variation of $$\ln\frac{R}{R_0}$$ with $$\ln A$$ (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