The ratio of the masses and radii of two planets are 2 : 3 and 4 : 9. What is the ratio of the escape speed at their surface ?

Explanation

To find the ratio of the escape speeds of two planets given the ratios of their masses and radii, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Ratios**:
- The ratio of the masses of the two planets is given as \( \frac{m_1}{m_2} = \frac{2}{3} \).
- The ratio of the radii of the two planets is given as \( \frac{r_1}{r_2} = \frac{4}{9} \).

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