NTA JEE Main 6th April 2023 Shift 2

A dipole comprises of two charged particles of identical magnitude $$q$$ and opposite in nature. The mass $$m$$ of the positive charged particle is half of the mass of the negative charged particle. The two charges are separated by a distance $$l$$. If the dipole is placed in a uniform electric field $$\vec{E}$$, in such a way that dipole axis makes a very small angle with the electric field, $$\vec{E}$$. The angular frequency of the oscillations of the dipole when released is given by:

A student is provided with a variable voltage source $$V$$, a test resistor $$R_T = 10\Omega$$, two identical galvanometers $$G_1$$ and $$G_2$$ and two additional resistors, $$R_1 = 10M\Omega$$ and $$R_2 = 0.001\Omega$$. For conducting an experiment to verify ohm's law, the most suitable circuit is:

The figure below shows a part of an electric circuit. The potentials at points $$a$$, $$b$$ and $$c$$ are 30 V, 12 V and 2 V respectively. The current through the 20 $$\Omega$$ resistor will be,

A capacitor of capacitance 150.0 $$\mu$$F is connected to an alternating source of emf given by $$E = 36 \sin(120\pi t)$$ V. The maximum value of current in the circuit is approximately equal to:

The energy density associated with electric field $$\vec{E}$$ and magnetic field $$\vec{B}$$ of an electromagnetic wave in free space is given by ($$\varepsilon_0$$ - permittivity of free space, $$\mu_0$$ - permeability of free space)

A 2 meter long scale with least count of 0.2 cm is used to measure the locations of objects on an optical bench. While measuring the focal length of a convex lens, the object pin and the convex lens are placed at 80 cm mark and 1 m mark, respectively. The image of the object pin on the other side of lens coincides with image pin that is kept at 180 cm mark. The % error in the estimation of focal length is:

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: The phase difference of two light waves change if they travel through different media having same thickness, but different indices of refraction.
Reason R: The wavelengths of waves are different in different media.
In the light of the above statements, choose the most appropriate answer from the options given below

The work functions of Aluminium and Gold are 4.1 eV and 5.1 eV respectively. The ratio of the slope of the stopping potential versus frequency plot for Gold to that of Aluminium is

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: Diffusion current in a p-n junction is greater than the drift current in magnitude if the junction is forward biased.
Reason R: Diffusion current in a p-n junction is from the n-side to the p-side if the junction is forward biased.

For an amplitude modulated wave the minimum amplitude is 3 V, while the modulation index is 60%. The maximum amplitude of the modulated wave is: