Let the equations of two ellipses be \(E_1: \frac{x^2}{4} + \frac{y^2}{3} = 1\) and \(E_2: \frac{x^2}{25} + \frac{y^2}{b^2} = 1\) . If the product of their eccentricities is \(\frac{\sqrt{2}}{3}\) , then the length of the minor axis of ellipse E2 is:
1
\(\frac{5}{3}\)
2
\(\frac{10}{3}\)
3
5
4
\(\frac{11}{3}\)