Q26 of 30 Page 1

Write two basic modes of communication. Explain the process of amplitude modulation. Draw a schematic sketch showing how amplitude modulated signal is obtained by superposing a modulating signal over a sinusoidal carrier wave.

The two basic modes of communication are: -


1. Point-to-point communication


2. Broadcast communication


Amplitude Modulation: -


In this type of modulation, the message signal is super imposed on the carrier wave and the modulated wave is transmitted


The carrier wave is,



The message signal is,



So the modulated signal cm(t) can be written as,




we can write,



Here,



Is called the modulation index, Using the trigonometric relation,



we can write,



Here and are respectively called the lower side and upperside frequencies. The modulated signal now consists of thecarrier waveof frequency plus two sinusoidal waves each with a frequency slightly different from, known as side bands. The frequency spectrum of the amplitude modulated signal is shown below,


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An electron microscope uses electrons accelerated by a voltage of 50 kV. Determine the de-Broglie wavelength associated with the electrons. Taking other factors, such as numerical aperture etc. to be same, how does the resolving power of an electron microscope compare with that of an optical microscope which used yellow light?

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Draw a labelled diagram of Van de Graaff generator. State its working principle to show how by introducing a small charged sphere into a larger sphere, a large amount of charge can be transferred to the outer sphere. State the use of this machine and also point out its limitations.

OR


(a) Deduce the expression for the torque acting on a dipole of dipole moment in the presence of a uniform electric field .


(b) Consider two hollow concentric spheres, S1 and S2, enclosing charges 2Q and 4Q respectively as shown in the figure.


(i) Find out the ratio of the electric flux through them.


(ii) How will the electric flux through the sphere S1 change if a medium of dielectric constant 'εr' is introduced in the space inside S1 in place of air ? Deduce the necessary expression.