It is interesting to speculate on the properties of a universe with different values for the fundamental constants.
a. in a universe in which planck’s constant had the value h = 1 j s, what would be the de broglie wavelength of a 145 g baseball moving at a speed of 20 m/s?
b. suppose the velocity of the ball from part (a) is known to lie between 19 and 21 m/s. what is the smallest distance within which it can be know to lie?
c. suppose that in this universe the mass of the electron is 1 g and the charge on the electron is 1 c. calculate the bohr radius of the hydrogen atom in this universe