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JEE Main 2023 (10 Apr, Shift 1) · Comparing Two Projectiles

Comparing Two Projectiles question from JEE Main 2023 (10 Apr, Shift 1)

Q13JEE Main 2023 · 10 APR · SHIFT 1Easy

Comparing Two Projectiles

The range of the projectile projected at an angle of 15∘^\circ with horizontal is 50 m. If the projectile is projected with same velocity at an angle of 45∘^\circ with horizontal, then its range will be

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Answer: (b)

  1. R=u2sin⁡2θgR = \frac{u^2\sin 2\theta}{g}: at 15∘15^\circ, 50=u2gsin⁡30∘⇒u2g=100 m50 = \frac{u^2}{g}\sin 30^\circ \Rightarrow \frac{u^2}{g} = 100\text{ m}
  2. At 45∘45^\circ: R=u2gsin⁡90∘=100 mR = \frac{u^2}{g}\sin 90^\circ = 100\text{ m}
  3. So the answer is (b) 100 m.
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