Q1.
(a) Q1. A mouse of mass m jumps on the outside edge of a freely turning ceiling fan of rotational inertia I and radius R. By what ratio does the angular velocity change? By what ratio does the angular velocity change?
(b) In a He-Ne laser system, the two energy levels of Ne involved in lasing action have energy values of 20.66 eV and 18.70 eV respectively. Population inversion occurs between these two energy levels. What will be the wavelength of the laser beam produced?
(c) What will be the population in the metastable energy level with respect to the upper excited level at room temperature (27°C)?
(d) How can the refractive index of a liquid be determined using a method of Newton's rings? Obtain an appropriate expression for calculating the refractive index.
(e)
How fast and in what direction must galaxy A be moving if an absorption line found at wavelength 550 nm (green) for a stationary galaxy is shifted to 450 nm for galaxy A and how fast and in what direction is galaxy B moving if the same line is shifted to 700 nm for it?
(f) The quality factor Q in a damped harmonic motion is defined as Q = (2π × Average energy stored per cycle) / (Average energy dissipated per cycle). Show that Q = ω/(2h).