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← JEE Main 2022 · 30 Jun · Shift 1
PhysicsSingle correct+4 / -1Question 34 of 90

JEE Main 2022 · 30 Jun · Shift 1, Physics question 34

Two projectiles P1P_1 and P2P_2 thrown with speed in the ratio 3:2\sqrt3:\sqrt2, attain the same height during their motion. If P2P_2 is thrown at an angle of 60° with the horizontal, the angle of projection of P1P_1 with horizontal will be :

Choose one option
Answer and worked solution

Official answer: C

Equal heights. 3sin⁡2θ=2sin⁡260°=323\sin^2\theta=2\sin^260°=\frac32, so sin⁡θ=12\sin\theta=\frac1{\sqrt2}, θ=45°\theta=45°.

(C)