Nearly \( 10\% \) of the power of a \( 110 \, \text{W} \) light bulb is converted to visible radiation. The change in average intensities of visible radiation, at a distance of \( 1 \, \text{m} \) from the bulb to a distance of \( 5 \, \text{m} \) is \( a \times 10^{-2} \, \text{W} / \text{m}^{2} \). The value of ' \( a \) ' will be ________.
