NTA JEE Main 25th July 2022 Shift 1

Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to the direction of motion. If the ratio of radii of their circular paths is $$6:5$$ and their respective masses ratio is $$9:4$$. Then, the ratio of their charges will be

The magnetic moment of an electron ($$e$$) revolving in an orbit around nucleus with an orbital angular momentum is given by

A small square loop of wire of side $$l$$ is placed inside a large square loop of wire $$L$$ ($$L \gg l$$). Both loops are coplanar and their centres coincide at point $$O$$ as shown in figure. The mutual inductance of the system is

To increase the resonant frequency in series LCR circuit,

The RMS value of conduction current in a parallel plate capacitor is $$6.9 \mu A$$. The capacity of this capacitor, if it is connected to $$230 \text{ V}$$ AC supply with an angular frequency of $$600 \text{ rad s}^{-1}$$, will be

Which of the following statement is correct?

Time taken by light to travel in two different materials $$A$$ and $$B$$ of refractive indices $$\mu_A$$ and $$\mu_B$$ of same thickness is $$t_1$$ and $$t_2$$ respectively. If $$t_2 - t_1 = 5 \times 10^{-10} \text{ s}$$ and the ratio of $$\mu_A$$ to $$\mu_B$$ is $$1:2$$. Then the thickness of material, in meter is: (Given $$v_A$$ and $$v_B$$ are velocities of light in $$A$$ and $$B$$ materials respectively).

A metal exposed to light of wavelength $$800 \text{ nm}$$ and emits photoelectrons with a certain kinetic energy. The maximum kinetic energy of photo-electron doubles when light of wavelength $$500 \text{ nm}$$ is used. The work function of the metal is (Take $$hc = 1230 \text{ eV nm}$$).

The momentum of an electron revolving in $$n^{th}$$ orbit is given by: (Symbols have their usual meanings)

In the circuit, the logical value of $$A = 1$$ or $$B = 1$$ when potential at $$A$$ or $$B$$ is $$5 \text{ V}$$ and the logical value of $$A = 0$$ or $$B = 0$$ when potential at $$A$$ or $$B$$ is $$0 \text{ V}$$.

The truth table of the given circuit will be: