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JEE Main 2005
Exam
JEE Main
Year
2005
Subject
Physics
Chapter
Motion in Two Dimensions

JEE Main 2005 · Physics · Motion in Two Dimensions

A projectile can have the same range R for two angles of...

A projectile can have the same range R\mathrm{R} for two angles of projection. If t1\mathrm{t}_1 and t2\mathrm{t}_2 be the times of flights in the two cases, then the product of the two time of flights is proportional to

Options

  1. AR2\mathrm{R}^2
  2. B1/R21 / R^2
  3. C1/R1 / \mathrm{R}
  4. DR\mathrm{R}

Correct answer

D. R\mathrm{R}

Step-by-step solution

t1t2=2u2sin⁡2θg2=2Rg\mathrm{t}_1 \mathrm{t}_2=\frac{2 \mathrm{u}^2 \sin 2 \theta}{\mathrm{g}^2}=\frac{2 \mathrm{R}}{\mathrm{g}}
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