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JEE Main 2003
Exam
JEE Main
Year
2003
Subject
Physics
Chapter
Motion in Two Dimensions

JEE Main 2003 · Physics · Motion in Two Dimensions

Two stones are projected from the top of a cliff h metres high,...

Two stones are projected from the top of a cliff h\mathrm{h} metres high, with the same speed u\mathrm{u}, so as to hit the ground at the same spot. If one of the stones is projected at an angle θ\theta to the horizontal then the θ\theta equals

Options

  1. Au2gh\mathrm{u} \sqrt{\frac{2}{\mathrm{gh}}}
  2. B2ugh\sqrt{\frac{2 \mathrm{u}}{\mathrm{gh}}}
  3. C2 guh2 \mathrm{~g} \sqrt{\frac{\mathrm{u}}{\mathrm{h}}}
  4. D2 hug2 \mathrm{~h} \sqrt{\frac{\mathrm{u}}{\mathrm{g}}}

Correct answer

A. u2gh\mathrm{u} \sqrt{\frac{2}{\mathrm{gh}}}

Step-by-step solution

R=u2 h g=(ucos⁡θ)×t\mathrm{R}=\mathrm{u} \sqrt{\frac{2 \mathrm{~h}}{\mathrm{~g}}}=(\mathrm{u} \cos \theta) \times \mathrm{t} t=1cos⁡θ2hgt=\frac{1}{\cos \theta} \sqrt{\frac{2 h}{g}}
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