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JEE Main 2026 · 4 Apr · Shift 1, Physics question 31

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:x1:x. The value of xx is

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Answer and worked solution

Official answer: B

Range ∝sin⁡2θ\propto\sin2\theta: sin⁡30∘:sin⁡60∘=1:3\sin30^\circ:\sin60^\circ=1:\sqrt3, so x=3x=\sqrt3.

(B)