JEE Main 11th January 2019 Shift 2

A particle of mass m and charge q is in an electric and magnetic field given by $$\vec{E} = 2\hat{i} + 3\hat{j}$$; $$\vec{B} = 4\hat{j} + 6\hat{k}$$. The charged particle is shifted from the origin to the point P$$(x = 1; y = 1)$$ along a straight path. The magnitude of the total work done is:

A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear dimension of each side of the frame is increased by a factor of 3, keeping the number of turns of the coil per unit length of the frame the same, then the self inductance of the coil:

A 27 mW laser beam has a cross-sectional area of 10 mm$$^2$$. The magnitude of the maximum electric field in this electromagnetic wave is given by: [Given permittivity of space $$\epsilon_0 = 9 \times 10^{-12}$$ SI units, Speed of light $$c = 3 \times 10^8$$ m/s]

A monochromatic light is incident at a certain angle on an equilateral triangular prism and suffers minimum deviation. If the refractive index of the material of the prism is $$\sqrt{3}$$, then the angle of incidence is:

In a double-slit experiment, green light (5303 Å) falls on a double slit having a separation of $$19.44 \mu m$$ and a width of $$4.05 \mu m$$. The number of bright fringes between the first and the second diffraction minima is

In a photoelectric experiment, the wavelength of the light incident on a metal is changed from 300 nm to 400 nm. The decrease in the stopping potential is close to: $$\left(\frac{hc}{e} = 1240 \text{ nm} \cdot V\right)$$

In a hydrogen like atom, when an electron jumps from the M-shell to the L-shell, the wavelength of emitted radiation is $$L$$. If an electron jumps from N-shell to the L-shell, the wavelength of emitted radiation will be:

The circuit shown below contains two ideal diodes, each with a forward resistance of $$50\Omega$$. If the battery voltage is 6 V, the current through the $$100\Omega$$ resistance (in Amperes) is:

An amplitude modulated signal is plotted below. Which one of the following best describes the above signal?

In the experimental set up of metre bridge shown in the figure, the null point is obtained at a distance of 40 cm from A. If a $$10\Omega$$ resistor is connected in series with $$R_1$$, the null point shifts by 10 cm. The resistance that should be connected in parallel with $$(R_1 + 10)\Omega$$ such that the null point shifts back to its initial position is