BPUT previous year question paper Of PHYSICS -1, 1st Semester 2011

BPUT previous year question paper
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BPUT previous year question paper

Registration No.

Total number of printed pages—3 B. Tech.

. BS11O2

First Semester Examination — 2011

PHYSICS -1

Full Marks—70

Time: 3 Hours

Answer Question No. 1 which is compulsory and any five from the rest.

The figures ¡n the right-hand margin indicate marks.

(Mass of electron = 9.11 xl 031 kg, Mass of proton = 1,67x1 027 kg, Plank’s constant = 6.62 xl O 34Js, Boltzmann constant = 1 .38x1 O_23 J/K)

Answer the following questions: 2x10

(a) The amplitude of a damped harmonic oscillator decreases with passes of time. In this regard what do you mean by relaxation time/modulus of decay?

(b) Both longitudinal and transverse waves can propagate through a solid. A wave on the surface of a liquid can involve both longitudinal and transverse motion of elements of the medium. On the other hand, a wave propagating through the volume of a fluid must be purely longitudinal, not transverse.

Why?

(C) A laser beam (.λ = 632.8 nm) ¡s incident on two slits 0.200 mm apart. How far apart are the bright interference fringes on a screen 1.00 m away from the double slits?

(d) If laser light ¡s reflected from a phonograph record or a compact disc, a diffraction pattern appears. Explain the phenomenon.

(e) The angle of incidence of a light beam onto a reflecting surface is continuously variable. The reflected ray ¡s found to be completely polarized. when the angle of incidence is 48.00. What is the index of refraction of the reflecting material?

(f) A sinusoidal electromagnetic wave of frequency 40.0 MHz travels in free space in the x direction. At some point and at some instant, the electric field has its maximum value of 750 N/C and is along the y axis. Calculate the magnitude and direction of the magnetic field at this position and time.

(g) Write the wave equation for the magnetic field in a dielectric medium.

(h) Write down Schrödinger’s time dependent and time independent equations for the particle.

(i) A photon of wavelength 0.09 A is scattered through 54° by a free electron at rest. Calculate the kinetic energy imparted to the electron.

(j) A particle s in a one-dimensional infinitely deep potential well of width L.

Graphically show the dependence of ground state energy on the width of the well.

2. (a) Two identical simple pendulums are suspended in vacuum. The two masses are connected by a massless spring of low spring constant. Set up the differential equation for this coupled system in normal coordinates. What are their normal modes of frequencies? 5

(b) A 10.6 kg object oscillates at the end of a vertical spring that has a spring constant of 2.05 xl 4 N/rn. The effect of air resistance is represented by the damping coefficient of 3.00 N s/rn.

4. (a) Calculate the frequency of the damped oscillation. (b) By what percentage does the amplitude of the oscillation decrease in each cycle? (c) Find the time interval that elapses while the energy of the system drops to 5.00% of its initial value. 5

3. (a) Mention the conditions for the production of sustained interference pattern.

(b) With the help of the suitable ray diagram and theory, discuss the production of Newton’s rings. 6

4. (a) Describe with necessary theory, the determination of wavelength of monochromatic light by using diffraction grating. 5

(b) Bring out the similarities and differences between a zone plate and a converging lens.

5. (a) Distinguish among plain polarized, circularly polarized and unpolarized light. 5

(b) Describe the construction and working of a Nichol prism. 5

6. (a) Prove that curl of gradient of a scalar function is zero. 5

(b) Distinguish between conduction current and displacement current. Give examples. 5

7. (a) Starting from Maxwell’s electromagnetic equations in free space, in absence of charges and currents, obtain the wave equation for magnetic vector potential. 5

(b) State Poynting’s theorem. Explain how the Poynting’s vector explains energy flow. 5

8. (a) What is Compton effect? A -ray photon collides with an electron at rest. In this case derive an expression for the change of wavelength of the scattered photon.

(b) A Particle of energy E moving along +ve x-axis meets a potential step given by V(x)=O, O<x (1st region) and V(x)=V0, x>O (2nd region). Derive an expression for the refractive index of the 2nd region with respect to 1^st region.

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