# The oscillation of liquid in U tube which has an acceleration

1. ### IPhO' 2008

44
1. The problem statement, all variables and given/known data
The U tube contains the liquid.The length of the liquid in U tube is L. If U tube has an acceleration a in X-axis and we make liquid a small oscillation.Find the period of oscillation.

3. The attempt at a solution

I know the answer is 2$$\pi$$$$\sqrt{\frac{L}{2\sqrt{g2+a2}}}$$ but I don't know how to prove it.So,please help me.

2. ### IPhO' 2008

44
g2[/sup ] is g2 and a2[/sup ] is a2.