NTA JEE Main 4th April 2015 Offline

Two coaxial solenoids of different radii carry current $$I$$ in the same direction. Let $$\vec{F_1}$$ be the magnetic force on the inner solenoid due to the outer one and $$\vec{F_2}$$ be the magnetic force on the outer solenoid due to the inner one. Then:

An LCR circuit is equivalent to a damped pendulum. In an LCR circuit the capacitor is charged to $$Q_0$$ and then connected to the L and R as shown below:

If a student plots graphs of the square of maximum charge $$(Q_{Max}^2)$$ on the capacitor with time (t) for two different values $$L_1$$ and $$L_2$$ ($$L_1 > L_2$$) of L then which of the following represents this graph correctly? (plots are schematic and not drawn to scale)

An inductor $$(L = 0.03$$ H$$)$$ and a resistor $$(R = 0.15$$ k$$\Omega)$$ are connected in series to a battery of 15 V E.M.F. in the circuit shown below. The key $$K_1$$ has been kept closed for a long time. Then at $$t = 0$$, $$K_1$$ is opened and key $$K_2$$ is closed simultaneously. At $$t = 1$$ ms, the current in the circuit will be: (Take, $$e^5 \approx 150$$)

A red LED emits light at 0.1 watt uniformly around it. The amplitude of the electric field of the light at a distance of 1 m from the diode is:

Monochromatic light is incident on a glass prism of angle A. If the refractive index of the material of the prism is $$\mu$$, a ray, incident at an angle $$\theta$$, on the face AB would get transmitted through the face AC of the prism provided:

On a hot summer night, the refractive index of air is the smallest near the ground and increases with a height from the ground. When a light beam is directed horizontally, the Huygens' principle leads us to conclude that as it travels, the light beam,

Assuming that the human pupil has a radius of 0.25 cm and a comfortable viewing distance of 25 cm. The minimum separation between two point objects that the human eye can resolve for the light of wavelength 500 nm is

Match list-I (Fundamental Experiment) with List-II (its conclusion) and select the correct option from the choices given below the list:

List-I                                                 List-II
A. Franck-Hertz Experiment            (i) Particle nature of light
B. Photo-electric experiment          (ii) Discrete energy levels of the atom
C. Davison-Germer Experiment       (iii) Wave nature of electron
                                                             (iv) Structure of atom

As an electron makes a transition from an excited state to the ground state of a hydrogen-like atom/ion

A signal of 5 kHz frequency is amplitude modulated on a carrier wave of frequency 2 MHz. The frequencies of the resultant signal is/are: