NTA JEE Main 9th April 2014 Online

When the rms voltages $$V_L$$, $$V_C$$ and $$V_R$$ are measured respectively across the inductor L, the capacitor C and the resistor R in a series LCR circuit connected to an AC source, it is found that the ratio $$V_L : V_C : V_R = 1 : 2 : 3$$. If the rms voltage of the AC source is 100 V, then $$V_R$$ is close to:

Match List I (Wavelength range of electromagnetic spectrum) with List II (Method of production of these waves) and select the correct option from the options given below the lists.

List I:                                           List II:
(a) 700 nm to 1 mm                     (i) Vibration of atoms and molecules 
(b) 1 nm to 400 nm                      (ii) Inner shell electrons in atoms moving from one energy level to a lower level
(c) < 10$$^{-3}$$ nm                               (iii) Radioactive decay of the nucleus
(d) 1 mm to 0.1 m                        (iv) Magnetron valve

A diver looking up through the water sees the outside world contained in a circular horizon. The refractive index of water is $$\frac{4}{3}$$, and the diver's eyes are 15 cm below the surface of the water. Then the radius of the circle is:

The focal lengths of objective lens and eye lens of a Galilean Telescope are respectively 30 cm and 3.0 cm. Telescope produces virtual, erect image of an object situated far away from it at least distance of distinct vision from the eye lens. In this condition the Magnifying Power of the Galilean Telescope should be:

Using monochromatic light of wavelength $$\lambda$$, an experimentalist sets up the Young's double slit experiment in three ways as shown. If she observes that $$y = \beta'$$, the wavelength of light used is:

For which of the following particles will it be most difficult to experimentally verify the de-Broglie relationship?

If the binding energy of the electron in a hydrogen atom is 13.6 eV, the energy required to remove the electron from the first excited state of Li$$^{++}$$ is:

An n-p-n transistor has three leads A, B and C. Connecting B and C by moist fingers, A to the positive lead of an ammeter, and C to the negative lead of the ammeter, one finds large deflection. Then, A, B and C refer respectively to:

Identify the gate and match A, B, Y in the bracket to check.

A transmitting antenna at the top of a tower has a height 32 m and the height of the receiving antenna is 50 m. What is the maximum distance between them for satisfactory communication in line of sight (LOS) mode?