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Two bodies of same mass are projected with the same velocity at an angle 30° and 60° respectively. The ratio of their horizontal ranges will be

1. 1:1
2. 1:2
3. 1:3
4. 2:√2

Correct answer: 1:1

Solution

The horizontal range of a projectile is given by R = (v² * sin(2θ)) / g. For angles 30° and 60°, sin(2θ) is the same (sin(60°) = sin(120°)), so the ranges are equal. Thus, the ratio is 1:1.

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