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An inductor \( L \) and a resistance \( R \) are connected in series with a battery of emf \( E \) and a switch. Initially the switch
P
is open. The switch is closed at an instant \( t=0 \). Select the correct alternatives
(1) At \( t=0 \), induced emf in inductor is zero
(2) At \( t=\frac{L}{R} \), energy stored in the inductor is
\[
\left(1-\frac{1}{e}\right)^{2}\left(\frac{L E^{2}}{2 R^{2}}\right)
\]
(3) At \( t=\frac{L}{R} \), induced emf in the inductor is \( \frac{E}{e} \)
(4) At \( t=\frac{L}{R} \), voltage drop across the resistor is
\[
E\left(1-\frac{1}{e}\right)
\]


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