Electromagnetic Induction and Alternating Current

In an $LCR$ circuit as shown below both switches are open initially. Now switch $S1$ is closed, $S2$ kept open. ($q$ is charge on the capacitor and $ \tau = RC$ is capacitive time constant). Which of the following statement is correct?

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(A) $At\: t = \tau,\: q = \large\frac{CV}{2}$

(B) $At\: t = 2\tau, \: q=CV ( 1-e^{-2})$

(D) $At\: t = \large\frac{\tau}{2}, \: q=CV ( 1-e^{-2})$

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Electromagnetic Induction and Alternating Current practice questions for JEE