A thorough investigation of the Planck's black-body radiation reveals several potential flaws. It is found that Planck's final formula suffers from a serious dimensional discrepancy. While it relates to the spectral energy density of the black body radiation, the measured experimental data correspond to the spectral power density. It is shown that Planck's final formula is better written, P = b ν where P is power with units J / s , b is the quantum of energy with units J (numerically equals to Planck's constant, h ), and ν is the frequency of the quantum oscillator with units 1 / s . It is shown that a simple modification in the Planck's black-body radiation formula brought about by replacing “ h ” by “ b ” in it could make it absolutely free from any flaws and discrepancies.