NTA JEE Main 6th April 2023 Shift 1

For a uniformly charged thin spherical shell, the electric potential $$V$$ radially away from the centre $$O$$ of shell can be graphically represented as

(1)

(2)

(3)

(4)

A long straight wire of circular cross-section (radius $$a$$) is carrying steady current I. The current I is uniformly distributed across this cross-section. The magnetic field is

The induced emf can be produced in a coil by
A. moving the coil with uniform speed inside uniform magnetic field
B. moving the coil with non uniform speed inside uniform magnetic field
C. rotating the coil inside the uniform magnetic field
D. changing the area of the coil inside the uniform magnetic field
Choose the correct answer from the options given below:

For the plane electromagnetic wave given by $$E = E_0 \sin(\omega t - kx)$$ and $$B = B_0 \sin(\omega t - kx)$$, the ratio of average electric energy density to average magnetic energy density is

A monochromatic light wave with wavelength $$\lambda_1$$ and frequency $$\nu_1$$ in air enters another medium. If the angle of incidence and angle of refraction at the interface are 45° and 30° respectively, then the wavelength $$\lambda_2$$ and frequency $$\nu_2$$ of the refracted wave are:

The kinetic energy of an electron, $$\alpha$$-particle and a proton are given as 4K, 2K and K respectively. The de-Broglie wavelength associated with electron $$(\lambda_e)$$, $$\alpha$$-particle $$(\lambda_\alpha)$$ and the proton $$(\lambda_p)$$ are as follows:

The energy levels of a hydrogen atom are shown below. The transition corresponding to emission of shortest wavelength is

Name the logic gate equivalent to the diagram attached

The resistivity $$(\rho)$$ of semiconductor varies with temperature. Which of the following curve represents the correct behaviour?

By what percentage will the transmission range of a TV tower be affected when the height of the tower is increased by 21%?