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The amplitude of the charge oscillating in a circuit decreases exponentially as \(Q={Q}_{0}{e}^{-Rt/2L}\), where \({\mat…

Q1

The amplitude of the charge oscillating in a circuit decreases exponentially as \(Q={Q}_{0}{e}^{-Rt/2L}\), where \({\mathrm{Q}}_{0}\) is the charge at \(t=0\mathrm{s}\). The time at which charge amplitude decreases to \(0.50{Q}_{0}\) is nearly :
[Given that \(\mathrm{R}=1.5\Omega ,\mathrm{L}=12\mathrm{mH},\ln (2)=0.693\) ]

[Re-NEET 2024]

a

\(19.01\mathrm{ms}\)

b

\(11.09\mathrm{ms}\)

c

\(19.01\mathrm{s}\)

d

\(11.09\mathrm{s}\)

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