NTA JEE Mains 31th Jan 2024 Shift 1

The parameter that remains the same for molecules of all gases at a given temperature is :

The fundamental frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. If length of the open pipe is 60 cm, the length of the closed pipe will be :

Two charges $$q$$ and $$3q$$ are separated by a distance '$$r$$' in air. At a distance $$x$$ from charge $$q$$, the resultant electric field is zero. The value of $$x$$ is :

A rigid wire consists of a semicircular portion of radius $$R$$ and two straight sections. The wire is partially immerged in a perpendicular magnetic field $$\vec{B} = B_0 \hat{j}$$ as shown in figure. The magnetic force on the wire if it has a current $$i$$ is :

A coil is placed perpendicular to a magnetic field of $$5000$$ T. When the field is changed to $$3000$$ T in $$2$$ s, an induced emf of $$22$$ V is produced in the coil. If the diameter of the coil is $$0.02$$ m, then the number of turns in the coil is:

In a plane EM wave, the electric field oscillates sinusoidally at a frequency of $$5 \times 10^{10}$$ Hz and an amplitude of $$50 \text{ V m}^{-1}$$. The total average energy density of the electromagnetic field of the wave is : [Use $$\varepsilon_0 = 8.85 \times 10^{-12} \text{ C}^2 \text{N}^{-1}\text{m}^{-2}$$]

The refractive index of a prism with apex angle $$A$$ is $$\cot\frac{A}{2}$$. The angle of minimum deviation is :

When a metal surface is illuminated by light of wavelength $$\lambda$$, the stopping potential is $$8$$ V. When the same surface is illuminated by light of wavelength $$3\lambda$$, stopping potential is $$2$$ V. The threshold wavelength for this surface is :

If the wavelength of the first member of Lyman series of hydrogen is $$\lambda$$. The wavelength of the second member will be

Identify the logic operation performed by the given circuit.