Section A
Q1.
(a) Consider a particle of mass m moving in a potential field of the form V(\vecr) = V0(x2 + y2), where V0 is a constant. What are the conserved physical quantities for the particle?
(c) A tuning fork A produces 6 beats per second with another tuning fork B of frequency 508 Hz. When the prongs of A are loaded with a little wax, number of beats heard are 4 per second. Find the frequency of A before it was loaded with wax.
(d) A transmission hologram is recorded in a medium of refractive index 1.15. If the spacing between the two consecutive maxima is 557 nm and the angle of incidence of reference and object waves from the reference axis (say z-direction) is 30°, find the wavelength of the light source.
(e) The coherence length and the bandwidth of a light source is 3 km and 1 × 10-5 nm, respectively. Determine its wavelength and the pulse duration.