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The two projectiles are projected with the same initial velocities at the 15° and 30° with respect to the horizontal. The ratio of their ranges is 1 : x. The value of x is

Asked in JEE Main 4th April 1st Shift 2026 · Range and angle of projection

Answer: (2) √3

Step-by-step solution

R = (u² sin 2θ)/g, so (R₁)/(R₂) = (sin 30°)/(sin 60°) = (1/2)/(√3/2) = 1/(√3).

x = √3.

Why the other options are wrong

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