NTA JEE Main 6th April 2014 Offline

In the circuit shown here, the point 'C' is kept connected to point 'A' till the current flowing through the circuit becomes constant. Afterward, suddenly, point 'C' is disconnected from point 'A' and connected to point 'B' at time $$t = 0$$. Ratio of the voltage across resistance and the inductor at $$t = \frac{L}{R}$$ will be equal to:

During the propagation of electromagnetic wave in a particular medium:

Match List - I (Electromagnetic wave type) with List - II (Its association/application) and select the correct option from the choices given below the lists:

List - I:                                  List - II:
(a) Infrared waves                 (i) To treat muscular strain
(b) Radio waves                    (ii) For broadcasting
(c) X-rays                               (iii) To detect fracture of bones
(d) Ultraviolet rays                (iv) Absorbed by the ozone layer of the atmosphere

A thin convex lens made from crown glass ($$\mu = \frac{3}{2}$$) has focal length $$f$$. When it is measured in two different liquids having refractive indices $$\frac{4}{3}$$ and $$\frac{5}{3}$$, it has the focal lengths $$f_1$$ and $$f_2$$ respectively. The correct relation between the focal lengths is:

A green light is incident from the water to the air-water interface at the critical angle ($$\theta_c$$). Select the correct statement.

Two beams, A and B of plane polarized light with mutually perpendicular planes of polarization are seen through a polaroid. From the position when the beam A has maximum intensity (and beam B has zero intensity), a rotation of polaroid through 30° makes the two beams appear equally bright. If the initial intensities of the two beams are $$I_A$$ and $$I_B$$ respectively, then $$\frac{I_A}{I_B}$$ equals:

The radiation corresponding to $$3 \to 2$$ transition of hydrogen atom falls on a metal surface to produce photoelectrons. These electrons are made to enter a magnetic field of $$3 \times 10^{-4}$$ T. If the radius of the largest circular path followed by these electrons is 10.0 mm, the work function of the metal is close to:

Hydrogen ($$_1H^1$$), Deuterium ($$_1H^2$$), singly ionised Helium ($$_2He^4$$)$$^+$$ and doubly ionised lithium ($$_3Li^6$$)$$^{++}$$ all have one electron around the nucleus. Consider an electron transition from $$n = 2$$ to $$n = 1$$. If the wave lengths of emitted radiation are $$\lambda_1$$, $$\lambda_2$$, $$\lambda_3$$ and $$\lambda_4$$ respectively then approximately which one of the following is correct?

The forward biased diode connection is:

A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it?