(b) Intensity $\propto (amplitude)^{2}$ $\therefore\ \frac{I_{1}}{I_{2}} = \frac{a_{1}^{2}}{a_{2}^{2}}$ $\frac{1}{9} = \frac{a_{1}^{2}}{a_{2}^{2}}$ $\Longrightarrow \frac{a^{1}}{a^{2}} = \frac{1}{3}$
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.