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**Common Data for Questions 74 and 75 :**

The following series RLC circuit with zero initial conditions is excited by a unit impulse function $\delta(t)$.

For $t>0$, the voltage across the resistor is

- $\frac{1}{\sqrt{3}}\left(e^{-\frac{\sqrt{3}}{2} t}-e^{-\frac{1}{2} t}\right)$
- $e^{-\frac{1}{2} t}\left[\cos \left(\frac{\sqrt{3} t}{2}\right)-\frac{1}{\sqrt{3}} \sin \left(\frac{\sqrt{3} t}{2}\right)\right]$
- $\frac{2}{\sqrt{3}} e^{-\frac{1}{2} t} \sin \left(\frac{\sqrt{3} t}{2}\right)$
- $\frac{2}{\sqrt{3}} e^{-\frac{1}{2} t} \cos \left(\frac{\sqrt{3} t}{2}\right)$