To solve this problem, we need to calculate the energy required to form a soap bubble.$\\$The energy required to form a bubble is given by the formula:$\\ E = 4 \pi r^2 \cdot 2 \cdot T \\$where:$\\$• $r$ is the radius of the bubble (2 cm = 0.02 m),$\\$• $T$ is the surface tension of the soap solution (0.03 N/m),$\\$• The factor of 2 accounts for the two surfaces of the bubble (inner and outer).$\\$Substitute the known values into the formula:$\\ E = 4 \pi (0.02)^2 \cdot 2 \cdot 0.03 \\$Calculate $(0.02)^2: \\ (0.02)^2 = 0.0004 \\$Substitute back into the equation:$\\ E = 4 \pi \cdot 0.0004 \cdot 2 \cdot 0.03 \\$Simplify the expression:$\\ E = 4 \cdot 0.0004 \cdot 2 \cdot 0.03 \cdot \pi \\ E = 0.00096 \cdot \pi \\$Using $\pi \approx 3.1416,$ calculate the energy:$\\ E = 0.00096 \cdot 3.1416 \\ E \approx 0.003014 \\$Convert this to scientific notation:$\\ E \approx 3.014 \times 10^{-3}$ J$\\$Therefore, the amount of energy required to form the soap bubble is approximately $3.01 \times 10^{-4}$ J.$\\$This corresponds to Option 3.