Question bank/JEE Advanced/Physics

A projectile is fired from horizontal ground with speed $v$ and projection angle $\theta$. When the acceleration due to gravity is $g$, the range of the projectile is $d$. If at the highest point in its trajectory, the projectile enters a different region where the effective acceleration due to gravity is $g^{\prime}=\frac{g}{0.81}$, then the new range is $d^{\prime}=n d$. What is the value of $n$?

Source: JEEBench (IIT Delhi) / JEE Adv 2022 Paper 1