(b) $P = \frac{V^{2}}{R_{eq}} \Rightarrow 150 = \frac{(15)^{2}}{\lbrack 2R/(R + 2)\rbrack} = \frac{225 \times (R + 2)}{2R}$ $\Rightarrow R = \frac{450}{75} = 6\Omega$
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.