\(T _{2}=\frac{2 u _{2} \sin \theta}{ g }\)

\(T _{1}= T _{2}\)

\(\Rightarrow \frac{2}{ g } u _{1}=\frac{2 u _{2} \sin \theta}{ g } \Rightarrow u _{1}= u _{2} \sin \theta\)

\(\text { Height }=\frac{ u ^{2} \sin ^{2} \theta}{2 g } \Rightarrow \frac{ H _{1}}{ H _{2}}=\frac{u_{1}^{2}}{u_{2}^{2} \sin ^{2} \theta}\)

\(\Rightarrow \frac{ H _{1}}{ H _{2}}=1\)