Consider a swinging pendulum with length l= 10 cm, a mass of 1 gm swinging at the end of it with an amplitude, A= 1cm (?(max) =0.1 rad).Use g=980 cm/sec2, the acceleration due to gravity
a) Calculate the total energy ( potential plus kinetic) in ergs of the swinging pendulum.
b) What is the minimum quanta of energy ( in ergs) that the pendulum can gain or lose?
c) What is the change in amplitude,, that results from gaining or losing one quantum of energy?
d) How many energy levels are available to the pendulum between A=0 and A=1 cm.
e) If Planck's constant were equal to 1 erg-sec instead of 6.6 x 10-27erg-sec, what are the answers to b) ,c) and d) above?