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Question: Answered & Verified by Expert
Two stones are projected from the top of a cliff $\mathrm{h}$ metres high, with the same speed $\mathrm{u}$, so as to hit the ground at the same spot. If one of the stones is projected at an angle $\theta$ to the horizontal then the $\theta$ equals
PhysicsMotion In Two DimensionsJEE MainJEE Main 2003
Options:
  • A
    $\mathrm{u} \sqrt{\frac{2}{\mathrm{gh}}}$
  • B
    $\sqrt{\frac{2 \mathrm{u}}{\mathrm{gh}}}$
  • C
    $2 \mathrm{~g} \sqrt{\frac{\mathrm{u}}{\mathrm{h}}}$
  • D
    $2 \mathrm{~h} \sqrt{\frac{\mathrm{u}}{\mathrm{g}}}$
Solution:
1403 Upvotes Verified Answer
The correct answer is:
$\mathrm{u} \sqrt{\frac{2}{\mathrm{gh}}}$
$\mathrm{R}=\mathrm{u} \sqrt{\frac{2 \mathrm{~h}}{\mathrm{~g}}}=(\mathrm{u} \cos \theta) \times \mathrm{t}$
$t=\frac{1}{\cos \theta} \sqrt{\frac{2 h}{g}}$

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