$A$ coil of resistance $50 \Omega$ is connected across a $5.0 V$ battery. If the current in the coil is found to be $50 mA$ after the time $t=0.1 s$ of the battery being connected, then the inductance of the coil is:

  • A
    $\frac{5}{\ln(2)}$
  • B
    $10 \ln(2)$
  • C
    $5 e^4$
  • D
    $\frac{10}{e^4}$

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