A horizontal jet strikes a frictionless vertical plate (the

A horizontal jet strikes a frictionless vertical plate (the plan view is shown in the figure). It is then divided into two parts, as shown in the figure. If the impact loss can be neglected, what is the value of θ ?

Q₂	=	1 + cosα
Q₁	=	1 - cosα

α-angle between plate and jet

⇒	0.75	=	1 + cosα
⇒	0.25	=	1 - cosα

⇒ 3 =	1 + cosα
	1 - cosα

3 - 3cosα = 1 + cosα
2 = 4cosα

⇒ cosα =	1
	2

∴ α = 60°
φ = 90 - α = 30°