For the circuit shown in in the figure, the time constant $\text{RC}=1 \mathrm{~ms}$. The input voltage is $v_{i}(t)=\sqrt{2}$ $\sin 10^{3} t$.
The output voltage $v_{0}(t)$ is equal to
- $\sin \left(10^{3} t-45^{\circ}\right)$
- $\sin \left(10^{3} t+45^{\circ}\right)$
- $\sin \left(10^{3} t-53^{\circ}\right)$
- $\sin \left(10^{3} t+53^{\circ}\right)$