MCQ
A stone projected with a velocity $u$ at an angle $\theta$ with the horizontal reaches maximum height $H$. When it is projected with velocity $u$ at an angle $\left(\frac{\pi}{2}-\theta\right)$ with the horizontal, it reaches maximum height $H$. The relation between the horizontal range $R$ of the projectile, $H$ and $H$ is
  • $R=4 \sqrt{H_1 H_2}$
  • B
    $R=4\left(H_1-H_2\right)$
  • C
    $R=4\left(H_1+H_2\right)$
  • D
    $R=\frac{H_1^2}{H_2^2}$

Answer

Correct option: A.
$R=4 \sqrt{H_1 H_2}$

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