KE = (1/2)mv^{2} v^{2} = 2KE/m
v = (2KE/m)^{1/2} l = h/mv or v = h/ml
Therefore, h/ml = (2KE/m)^{1/2} Multiply both sides by mc;
hmc/ml = hc/l
= (2KE/m)^{1/2}mc
E = hc/l = (2Kem)^{1/2}c
= [2(6.00X10^{-22})(9.11X10^{-31})]^{1/2}3.0X10^{8} = 9.92X10^{-18} J as before.
Notice that the value of Planck's constant h was not needed.