b
${y}_{1}=10 \sin \left(3 \pi {t}+\frac{\pi}{3}\right) \Rightarrow \text { Amplitude }=10$
${y}_{2}=5(\sin 3 \pi {t}+\sqrt{3} \cos 3 \pi {t})$
${y}_{2}=10\left(\frac{1}{2} \sin 3 \pi {t}+\frac{\sqrt{3}}{2} \cos 3 \pi {t}\right)$
${y}_{2}=10\left(\cos \frac{\pi}{3} \sin 3 \pi {t}+\sin \frac{\pi}{3} \cos 3 \pi {t}\right)$
${y}_{2}=10 \sin \left(3 \pi {t}+\frac{\pi}{3}\right) \Rightarrow \text { Amplitude }=10$
So ratio of amplitudes $=\frac{10}{10}=1$