A parallel combination of $0.1 MΩ$ resistance and a $10 μ F$ capacitor is connected across a 1.5V source of negligible resistance. The time( in seconds) required for the capacitor to get charged up to 0.75V is approximately.

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$\infty$

$\log_{10}^{2}$

$\log_{e}^{2}$

Zero

answer is D.

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Detailed Solution

Given
Resistance $R = 0.1 MΩ=0.1 \times 10^{6} Ω$
Capacitance $C = 10 μF=10 \times 10^{- 6} F$
Voltage $V = 1.5 V$
There is no resistance in the part of circuit containing battery & capacitor initially.
Thus $τ = R C = 0$

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