Answer:
False
Explanation:
The illuminance is equal to the total flux divided by the surface area. If the spherical object has twice the radius, the surface area will be:
[tex]\begin{gathered} A_{\text{ initial}}=4\pi r^2 \\ A_{\text{ final}}=4\pi(2r)^2=4\cdot4\pi r^2=4A_{\text{ initial}} \end{gathered}[/tex]So, if the luminous flux is the same, and the surface area is increased, the illuminance will decrease.
Since 400 lx is greater than 100 lx, the statement is false.