Suppose an Object Is in a Frame Where It Is $\left|\overrightarrow{\beta_{0}}\right|$

True/False

Suppose an object is in a frame where it is moving at speed $\left|\overrightarrow{\beta_{0}}\right|$ and its length is $L 0$ at that speed. If we double the speed $\left(\overline{\beta_{1}}|=2| \overrightarrow{\beta_{0}}\right)$ , then the object's length is compressed by a factor of two $\left(L_{1}=\frac{1}{2} L_{2}\right)$ .