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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 $\delta(t)$.
Q.74 For $t>0$, the output voltage $V_{c}(t)$ is

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