NTA JEE Main 25th July 2022 Shift 2

Capacitance of an isolated conducting sphere of radius $$R_1$$ becomes $$n$$ times when it is enclosed by a concentric conducting sphere of radius $$R_2$$ connected to earth. The ratio of their radii  $$\left(\dfrac{R_2}{R_1}\right)$$ is:

A current of $$15 \text{ mA}$$ flows in the circuit as shown in figure. The value of potential difference between the points $$A$$ and $$B$$ will be

An electron with energy $$0.1 \text{ keV}$$ moves at right angle to the earth's magnetic field of $$1 \times 10^{-4} \text{ Wb m}^{-2}$$. The frequency of revolution of the electron will be (Take mass of electron $$= 9.0 \times 10^{-31} \text{ kg}$$)

The electric current in a circular coil of 2 turns produces a magnetic induction $$B_1$$ at its centre. The coil is unwound and is rewound into a circular coil of 5 turns and the same current produces a magnetic induction $$B_2$$ at its centre. The ratio of $$\dfrac{B_2}{B_1}$$ is:

When you walk through a metal detector carrying a metal object in your pocket, it raises an alarm. This phenomenon works on

Light wave travelling in air along $$x$$-direction is given by $$E_y = 540 \sin \pi \times 10^4(x - ct) \text{ V m}^{-1}$$. Then, the peak value of magnetic field of wave will be (Given $$c = 3 \times 10^8 \text{ m s}^{-1}$$)

For an object placed at a distance $$2.4 \text{ m}$$ from a lens, a sharp focused image is observed on a screen placed at a distance $$12 \text{ cm}$$ from the lens. A glass plate of refractive index $$1.5$$ and thickness $$1 \text{ cm}$$ is introduced between lens and screen such that the glass plate plane faces parallel to the screen. By what distance should the object be shifted so that a sharp focused image is observed again on the screen?

The ratio of wavelengths of proton and deuteron accelerated by potential $$V_p$$ and $$V_d$$ is $$1:\sqrt{2}$$. Then, the ratio of $$V_p$$ to $$V_d$$ will be

Hydrogen atom from excited state comes to the ground by emitting a photon of wavelength $$\lambda$$. The value of principal quantum number $$n$$ of the excited state will be: ($$R$$ : Rydberg constant)

In AM modulation, a signal is modulated on a carrier wave such that maximum and minimum amplitude are found to be $$6 \text{ V}$$ and $$2 \text{ V}$$ respectively. The modulation index is