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JEE Main 2026 (8 Apr, Shift 2) · Comparing Two Projectiles

Comparing Two Projectiles question from JEE Main 2026 (8 Apr, Shift 2)

Q3JEE Main 2026 · 8 APR · SHIFT 2Medium

Comparing Two Projectiles

Two identical bodies, projected with the same speed at two different angles cover the same horizontal range RR. If the time of flight of these bodies are 5 s and 10 s, respectively, then the value of RR is

______ m. (Take g=10 m/s2g = 10\text{ m/s}^{2})

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Answer: (a)

  1. Same range at the same speed: angles θ\theta and 90∘−θ90^\circ - \theta.
  2. T1T2=2usin⁡θg⋅2ucos⁡θg=2g⋅u2sin⁡2θg=2RgT_1 T_2 = \frac{2u\sin\theta}{g}\cdot\frac{2u\cos\theta}{g} = \frac{2}{g}\cdot\frac{u^2\sin 2\theta}{g} = \frac{2R}{g}
  3. 5×10=2R10⇒R=250 m5 \times 10 = \frac{2R}{10} \Rightarrow R = 250\text{ m}
  4. So the answer is (a) 250.
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