JEE Main 2026 · 8 Apr · Shift 2 · Physics Q31

← JEE Main 2026 · 8 Apr · Shift 2

PhysicsSingle correct+4 / -1Question 31 of 75

Two identical bodies, projected with the same speed at two different angles cover the same horizontal range $R$ . If the time of flight of these bodies are 5 s and 10 s, respectively, then the value of $R$ is ________ m. (Take $g=10$ m/s²)

250

500

125

Answer and worked solution

Official answer: A

Same range means complementary angles θ and 90° − θ:
$T_1T_2=\frac{4u^2\sin\theta\cos\theta}{g^2}=\frac{2R}g\ \Rightarrow\ R=\frac{gT_1T_2}2=\frac{10\times50}2=250\text{ m}.$

(A)

Topics:Projectile motion

← Previous question Next question →

JEE Main 2026 · 8 Apr · Shift 2, Physics question 31