Correct Answer - Option 2 : 1.414 A

__Concept__:

The power dissipated by a resistor is given by:

\(P=I^2R=\frac{V^2}{R}\)

I = Current flowing across the resistor

V = Voltage across the resistor

__Calculation__:

Given P = 100 Watts and R = 50 Ω

\(I=\sqrt {\frac{P}{R}}=\sqrt{\frac{100}{50}}\)

I = 1.414 A