UNIT 4 : ELECTRON BALLISTICS & ELECTRON OPTICS


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Electron motion in a longitudinal uniform electric field, energy acquired by electron in the electric field, electron motion in a transverse uniform electric field, motion of an electron in a i) longitudinal & ii) transverse uniform magnetic field, uniform magnetic field acting at an angle, electric & magnetic field in crossed configuration, velocity filter, determination of e/m of electron by Thomson's method,

Electron refraction - Bethe's law, electrostatic lens, cathod ray tube, block diagram of cathod ray oscilloscope, brief descriptions of various blocks ( more emphasis on CRT and time base), applications for frequency and phase measurements, longitudinal magnetic field focussing, cyclotron, Bainbridge mass spectrograph, electron microscope.


Edited by:- Dr. A. W. Pangantiwar

Show that an electron with uniform velocity follows a parabolic path in transverse uniform electric field.

Draw the block diagram of CRO and explain the function of delay line.

Explain the principle and working of cyclotron.

Protons are accelerated in a small cyclotron. the magnetic field strength is 1.3 wb/square metre, and the radius of the last semicircle is 0.5 m.
(i) What must be the frequency of the oscillator supplying the power to the dees?
(ii) What is final energy acquired by the proton?
(iii) If the total transit time of a proton is 3.3 micro second, how much energy is imparted to the particle in each passage from one dee to the other?

Explain the working of velocity selector in Bainbridge mass spectrograph.

Describe the motion of an electron subjected to the following forces :-
(i) a uniform electric field normal to the electron velocity,
(ii) a uniform magnetic field acting perpendicular to the direction of electron motion,
(iii) when a uniform electric and magnetic field which are perpendicular to each other act normal to the direction of electron motion.

Draw a neat block diagram of CRO.

Explain how intensity and sharpness of the trace on the screen are controlled.

Explain how the true shape of a voltage waveform is displayed on a CRO screen.

In the normal operating condition of a CRO, what are the voltages present on X-plates and Y-plates of its CRT?

Show that a charged particle moving with initial uniform velocity follows a parabolic path when subjected to transverse uniform electric field.

What is Bethe's law? Draw an analogy betwaeen Bethe's law and Snell's law.

discuss two applications of a CRO.

What is synchronization? How it is achieved in a CRO?

A uniform electric field exists in a region between two oppositely charged plates. An electron is released from rest at the surface of the negatively charged plate and strikes the surface of the opposite plate, 2.0 cm away, in time 1.5 x (ten to the power minus eight) second.
(i) What is the speed of the electron as it strikes the second plate?
(ii) What is the magnitude of the electric field E?

Which voltage controls the intensity of the spot on CRO screen? What is the function of the voltage given to the anode cylinders of CRT? Explain the working and use of the time-base circuit of CRO.

An alpha particle moving along the positive X-axis suddenly enters a magnetic field B which is along positive Y-axis. Discuss its trajectory inside this field. derive the quantities involved. What will happen if an alpha particle is replaced by an electron?

Discuss refraction of electron beam across the boundary seperating two equipotential regions.

Explain the working of an electrostatic electron lens.

The electric field between the plates of the velocity selector in Bainbridge mass spectrograph is 1200 V/cm and the magnetic field in both regions is 0.6 T. A stream of singly charged Neon moves in a circular path of 7.28 cm radius in the magnetic field. Determine the mass number of the Neon isotope.

Show that charged particle generally describes a parabolic motion in uniform electric field. What will happen if the field is not uniform?

How is it possible for a charged particle to pass through a combination of electric and magnetic field without any deviation?

Draw a block diagram of a CRO. Explain in brief the function of the time-base circuit.
How can the frequency of agiven signal be determined using the CRO?

A cyclotron, accelerating protons, employs a magnetic flux density 0.60 Wb/square metre. How rapidly should the electric field between the metal dees be reversed? Also obtain the energy of the emerging proton. (Assume R = 25 cms).

An electron enters the region having B=0.2k (Tesla). The initial velocity is (5i + 2k)x 100000 (m/s). Find the pitch and the radius of the electron trajectory.