NTA JEE Main 25th June 2022 Shift 1

Match List - I with List - II.

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

The electric field in an electromagnetic wave is given by $$E = 56.5 \sin\omega\left(\frac{t - x}{c}\right)$$ NC$$^{-1}$$. Find the intensity of the wave if it is propagating along $$x$$-axis in the free space. (Given $$\varepsilon_0 = 8.85 \times 10^{-12}$$ C$$^2$$ N$$^{-1}$$ m$$^{-2}$$)

A light wave travelling linearly in a medium of dielectric constant $$4$$, incidents 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 $$\mu_r = 1$$)

The difference of speed of light in the two media $$A$$ and $$B$$ ($$v_A - v_B$$) is $$2.6 \times 10^7$$ m s$$^{-1}$$. 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 $$c = 3 \times 10^8$$ m s$$^{-1}$$)

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 $$\frac{\pi}{2}$$ at point $$P$$ and $$\pi$$ at point $$Q$$. Then the difference between the resultant intensities at $$P$$ and $$Q$$ will be :

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 option 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