Multiple choice

The following series if RLC circuit with zero conditions is excited by a unit impulse. For t > 0, the output voltage v_c (t) is

^{$\dfrac{2}{\sqrt 3}
\left(
e^{\dfrac{-t}{2}t} - e^{\dfrac{\sqrt 3}{2}t}
\right)
$}V
^{$\dfrac{2}{\sqrt 3} te^{\dfrac{-1}{2}t}$}V
^{$\dfrac{2}{\sqrt 3}
e^{\dfrac{-t}{2}t}
cos
\left(
\dfrac{\sqrt 3}{2}t
\right)
$}V
^{$\dfrac{2}{\sqrt 3}
e^{\dfrac{-t}{2}t}
sin
\left(
\dfrac{\sqrt 3}{2}t
\right)
$}V

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