BE ( I year )
Q1 (a) At what the mass of an object will be double of its value at rest.
c = 3×101ocm/sec.
(b) What is Galilean transformation ? Derive all questions. Find out the equation u” = u-v for velocity of the particle, where u is velocity in S frame, u is velocity in S’ frame and v is the velocity of S’ frame with respect to S.
(c) Describe Michelson — Morley experiment and show how the negative results obtained from this experiment were interpreted.
(d) Derive Einstein mass energy relation E = mc2 considering the variation of mass with velocity.
Q2 (a) Define co-axial optical lens system
(b) Show that for a co-axial lens system Xi x2 = fi f2 where the symbols have their usual meanings .
(c) Define ultrasonic waves. Describe Pezos-electric method for their production.
(d) Define absorption coefficient of a material and describe a method for its determination.
Q3 (a) Write the name of two classes in which phenomenon of interference is divided
(b) Obtain an expression for fringe width in wedge shaped thin film.
(c) A plane transmission diffraction granting has 40000 lines in all with grating element 12.5 x 10-8 cm. Calculate the maximum resolving power for which it can be used in the range of wavelength 5000A.
(d) Explain Brewster’s law . show from thin law that when light in … incident on the transparent substance at the polarizing angle, the reflected and refracted rays are at right angles.
Q4 (a) Write 2’s complement of 10002 .
(b) Convert the following binary numbers as directed in (i), (ii), (iii)
(iv) and find the values of x, y and z in (v) :
(i) (1101.0110111)2 =( )8
(ii) (110011111)2 =(…………….. )1S
(iii) (1101-1 -01)2 = (……. )10
(iv) (3674)8 = (…………… )2
(v) (37.25)10 =(x)2 =(y)8=(z)l6
(c) State and prove De-Morgan’s theorems.
(d) Why NAND and NOR gate are called universal gates, explain?
Q5 (a) Write the statement of Heisenberg’s uncertainty principle.
(b) What is Compton effect ? Derive an expression for Compton shift.
(c) State Duane and Hunt limit and Mosley’s law and its significance.
(d) Explain Bethe’s law of “electron refraction. Compare it with the Snell’s law of optics.