A proton is confined within an atomic nucleus of diameter 44

A proton is confined within an atomic nucleus of diameter 4.40 fm. Estimate the smallest range of speeds you might find for a proton in the nucleus. Express your answer with the appropriate units.

Solution

h = Planck\'s constant = 6.625*10^-34J.s

        m = mass of theproton = 1.67*10^-27kg

          L = 4.4*10^-15m

the velocity of the proton in the nucleus is,

                           v = h / (2mL) = 4.5e+7 m/s = 5e+7 m/s   (nearly)