NTA JEE Main 24th January 2023 Shift 2

The electric potential at the centre of two concentric half rings of radii $$R_1$$ and $$R_2$$, having same linear charge density $$\lambda$$ is

A cell of emf 90 V is connected across series combination of two resistors each of 100 $$\Omega$$ resistance. A voltmeter of resistance 400 $$\Omega$$ is used to measure the potential difference across each resistor. The reading of the voltmeter will be:

A long solenoid is formed by winding 70 turns cm$$^{-1}$$. If 2.0 A current flows, then the magnetic field produced inside the solenoid is _____.
($$\mu_0 = 4\pi \times 10^{-7}$$ T m A$$^{-1}$$)

A metallic rod of length $$L$$ is rotated with an angular speed of $$\omega$$ normal to a uniform magnetic field $$B$$ about an axis passing through one end of rod as shown in figure. The induced emf will be:

The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by
$$E_x = E_0 \sin(kz - \omega t)$$
$$B_y = B_0 \sin(kz - \omega t)$$
Then the correct relation between $$E_0$$ and $$B_0$$ is given by

When a beam of white light is allowed to pass through convex lens parallel to principal axis, the different colours of light converge at different point on the principle axis after refraction. This is called:

An $$\alpha$$ particle, a proton and an electron have the same kinetic energy. Which one of the following is correct in case of their de-Broglie wavelength:

A photon is emitted in transition from $$n = 4$$ to $$n = 1$$ level in hydrogen atom. The corresponding wavelength for this transition is (given, $$h = 4 \times 10^{-15}$$ eV s)

The logic gate equivalent to the given circuit diagram is:

Match List I with List II
LIST I                                           LIST II
A. AM Broadcast                         I. 88 - 108 MHz
B. FM Broadcast                          II. 540 - 1600 kHz
C. Television                               III. 3.7 - 4.2 GHz
D. Satellite Communication       IV. 54 MHz - 590 MHz
Choose the correct answer from the options given below: