The light (\lambda = 6000\text{\AA}) from a laser of sectional diameter 1.0 cm and power 0.02 watt is loosed by a lens of focal length 10 cm. Determine the area at the image and intensity in it in watt/cm{}^2.
Define mach number A plane files horizontally at an altitude of 2 km at twice the speed of the sound in air. At what distance from the plane will an observer on the ground first heat it coming?
Describe how fresnel has accounted for the rotation of the plane of polarisation of light. Explain the action of a half-shade device.
Discuss the theory of diffraction grating and find conditions for the absent spectra. Distinguish between resolving power and dispersive power of a grating.
State Fourier's theorem. Discuss the conditions which a complex periodic curve must satisfy if it is to be analysed by this theorem. Show how the diffraction of waves at a single slit is related with a Fourier transform.
Show that the interference fringes in uncoated thin films are distinct when seen in reflection, but very indistinct in transmission.
Explain what is meant by Coriolis force. Discuss the action of Coriolis force on a body failing freely on the earth at altitude \lambda.
State and explain variation mass with velocity, hence find an expression for the density of a body in an arbitrary inertial frame of reference.
Explain what you mean by processional torque. Deduce an expression for the time period of processional motion of gyroscope in terms of relevant quantities.
If the earth were to rotate at n times its present speed of rotation about its axis, the apparent weight of a body at the equator would assume zero value. Find an expression for n.
What is centre of mass? Show that there exists only one centre of mass in system of particles. Discuss the usefulness of centre of mass in studying motion of system of particles.
Write a short note on Geostationary satellite.
Write a short note on Rutherford scattering.
Write a short note on Lorentz transformation.
Explain ferrimagnetism. How is it different from antiferromagnetism?
Show that in the non-degenerate approximation the Fermi level in an n-type semiconductor is slightly below the bottom of the conduction band and in p-type it is slightly above the top of the valence band, but in both cases it remains within the band gap.
Describe the characteristics of grounded emitter transistor amplifier circuit and determine expression for (i) Input resistance (ii) Output resistance (iii) Current gain (iv) Voltage gain (v) Power gain
Describe and explain the theory and operation of the Zener diode. Explain what is meant by (i) Avalanche breakdown (ii) Zener breakdown
What are weak interactions? Mention the various processes in which the weak interactions play a dominant role.
Describe in brief a linear accelerator. How are the lengths of linear accelerator tubes calculated? Name some particles for which this technique is applied and order of energies reached.