In the figure shown, the two projectiles are fired simultaneously. If the initial speed of the left projectile for the two projectiles to collide in the mid-air is \(n\sqrt{\frac{2}{3}}\)m/s, then find the value of 'n'.

**Clarification:** The initial speed of right projectile is \(20\)m/s and the angles made by both projectiles with the horizontal are shown in figure.
Distance between both the projectiles initially is \(10\)m.

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