NTA JEE Mains 6th April 2024 Shift 1

$$\sigma$$ is the uniform surface charge density of a thin spherical shell of radius $$R$$. The electric field at any point on the surface of the spherical shell is :

The value of unknown resistance $$(x)$$ for which the potential difference between $$B$$ and $$D$$ will be zero in the arrangement shown, is :

An element $$\Delta l = \Delta x\hat{i}$$ is placed at the origin and carries a large current $$I = 10 \text{ A}$$. The magnetic field on the $$y$$-axis at a distance of $$0.5 \text{ m}$$ from the element of length $$\Delta x$$ of $$1 \text{ cm}$$ is:

Given below are two statements: Statement I: In an LCR series circuit, current is maximum at resonance. Statement II: Current in a purely resistive circuit can never be less than that in a series LCR circuit when connected to same voltage source. In the light of the above statements, choose the correct from the options given below:

Electromagnetic waves travel in a medium with speed of $$1.5 \times 10^8 \text{ m s}^{-1}$$. The relative permeability of the medium is 2.0. The relative permittivity will be:

In photoelectric experiment energy of $$2.48 \text{ eV}$$ irradiates a photo sensitive material. The stopping potential was measured to be $$0.5 \text{ V}$$. Work function of the photo sensitive material is :

Which of the following phenomena does not explain by wave nature of light. A. reflection B. diffraction C. photoelectric effect D. interference E. polarization. Choose the most appropriate answer from the options given below:

The ratio of the shortest wavelength of Balmer series to the shortest wavelength of Lyman series for hydrogen atom is :

The correct truth table for the following logic circuit is :

While measuring diameter of wire using screw gauge the following readings were noted. Main scale reading is $$1 \text{ mm}$$ and circular scale reading is equal to 42 divisions. Pitch of screw gauge is $$1 \text{ mm}$$ and it has 100 divisions on circular scale. The diameter of the wire is $$\frac{x}{50} \text{ mm}$$. The value of $$x$$ is :