NTA JEE Main 18th March 2021 Shift 2

The function of time representing a simple harmonic motion with a period of $$\frac{\pi}{\omega}$$ is :

Which of the following statements are correct?
(A) Electric monopoles do not exist whereas magnetic monopoles exist.
(B) Magnetic field lines due to a solenoid at its ends and outside cannot be completely straight and confined.
(C) Magnetic field lines are completely confined within a toroid.
(D) Magnetic field lines inside a bar magnet are not parallel.
(E) $$\chi = -1$$ is the condition for a perfect diamagnetic material, where $$\chi$$ is its magnetic susceptibility.
Choose the correct answer from the options given below :

A proton and an $$\alpha$$-particle, having kinetic energies $$K_p$$ and $$K_\alpha$$, respectively, enter into a magnetic field at right angles. The ratio of the radii of the trajectory of proton to that of $$\alpha$$-particle is 2 : 1. The ratio of $$K_p : K_\alpha$$ is:

In a series LCR circuit, the inductive reactance $$(X_L)$$ is 10 $$\Omega$$ and the capacitive reactance $$(X_C)$$ is 4 $$\Omega$$. The resistance $$(R)$$ in the circuit is 6 $$\Omega$$. The power factor of the circuit is :

The time taken for the magnetic energy to reach 25% of its maximum value, when a solenoid of resistance $$R$$, inductance $$L$$ is connected to a battery, is :

A plane electromagnetic wave propagating along y-direction can have the following pair of electric field $$(\vec{E})$$ and magnetic field $$(\vec{B})$$ components.

Three rays of light, namely red (R), green (G) and blue (B) are incident on the face PQ of a right angled prism PQR as shown in figure.

The refractive indices of the material of the prism for red, green and blue wavelength are 1.27, 1.42 and 1.49 respectively. The colour of the ray(s) emerging out of the face PR is :

The speed of electrons in a scanning electron microscope is $$1 \times 10^7$$ ms$$^{-1}$$. If the protons having the same speed are used instead of electrons, then the resolving power of scanning proton microscope will be changed by a factor of:

The decay of a proton to neutron is :

The correct relation between $$\alpha$$ (ratio of collector current to emitter current) and $$\beta$$ (ratio of collector current to base current) of a transistor is :