NTA JEE Main 10th January 2019 Shift 2

A current of 2 mA was passed through an unknown resistor which dissipated a power of 4.4 W. Dissipated power when an ideal power supply of 11 V is connected across it is:

At some location the horizontal component of earth's magnetic field is $$18 \times 10^{-6}$$ T. At this location, magnetic needle of length 0.12 m and pole strength 1.8 Am is suspended from its mid-point using a thread, it makes 45$$^{\circ}$$ angles with horizontal in equilibrium. To keep this needle horizontal, the vertical force that should be applied at one of its ends is:

The self induced emf of a coil is 25 volts. When the current in it is changed at uniform rate from 10A to 25A in 1s, the change in the energy of the inductance is:

The electric field of a plane polarized electromagnetic wave in free space at time $$t = 0$$ is given by the expression $$\vec{E}(x, y) = 10\hat{j}\cos(6x + 8z)$$. The magnetic field $$\vec{B}(x, z, t)$$ is given by ($$c$$ is the velocity of light.)

The eye can be regarded as a single refracting surface. The radius of curvature of this surface is equal to that of the cornea (7.8 mm). This surface separates two media of refractive indices 1 and 1.34. Calculate the distance from the refracting surface at which a parallel beam of light will come to focus.

Consider a Young's double slit experiment as shown in figure. What should be the slit separation $$d$$ in terms of wavelength $$\lambda$$ such that the first minima occurs directly in front of the slit ($$S_1$$)?

A metal plate of area $$1 \times 10^{-4}$$ m$$^2$$ is illuminated by a radiation of intensity 16 m W/m$$^2$$. The work function of the metal is 5 eV. The energy of the incident photons is 10 eV and only 10% of it produces photo electrons. The number of emitted photo electrons per second and their maximum energy, respectively, will be: [$$1eV = 1.6 \times 10^{-19}$$ J]

Consider the nuclear fission, $$Ne^{20} \rightarrow 2He^4 + C^{12}$$. Given that the binding energy/nucleon of $$Ne^{20}$$, $$He^4$$ and $$C^{12}$$ are 8.03 MeV, 7.86 MeV, respectively. Identify the correct statement:

For the circuit shown below, the current through the Zener diode is:

The modulation frequency of an AM radio station is 250 kHz, which is 10% of the carrier wave. If another AM station approaches you for license what broadcast frequency will you allot?