Size, power and UMP property for a normal mean

Let $\theta_0$ and $\theta_1$ be real constants such that $\theta_1>\theta_0$. Suppose that a random sample is taken from a $N(\theta,1)$ distribution, $\theta\in\mathbb{R}$. For testing $H_0:\theta=\theta_0$ against $H_1:\theta=\theta_1$ at level $0.05$, let $\alpha$ and $\beta$ denote the size and the power, respectively, of the most powerful test, $\psi_0$. Then which of the following statements is/are correct?