A stone projected with a velocity u at an angle $\theta$ with the horizontal reaches maximum height $H_1$. When it is projected with velocity u at an angle $\left( {\frac{\pi }{2} - \theta } \right)$ with the horizontal, it reaches maximum height $ H_2$. The relation between the horizontal range R of the projectile, $H_1$ and $H_2$ is
A stone projected with a velocity u at an angle $\theta$ with the horizontal reaches maximum height $H_1$. When it is projected with velocity u at an angle $\left( {\frac{\pi }{2} - \theta } \right)$ with the horizontal, it reaches maximum height $ H_2$. The relation between the horizontal range R of the projectile, $H_1$ and $H_2$ is
- A
$R = 4\sqrt {{H_1}{H_2}} $
- B
$R = 4({H_1} - {H_2})$
- C
$R = 4({H_1} + {H_2})$
- D
$R = \frac{{{H_1}^2}}{{{H_2}^2}}$
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- [JEE MAIN 2023]
Which one of the following statements is not true about the motion of a projectile?
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