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STANDARDPhysics-Projectile Motion

STANDARD Physics Range and Angle of Projection MCQ Question

Type: MCQ-conceptual-Medium

Four bodies A, B, C and D are projected with equal speeds having angles of projection 15°, 30°, 45° and 60° with the horizontal respectively. The body having the shortest range is

A

A

B

B

C

C

D

D

Correct Answer

Option A

Detailed Explanation

Range, R=u2sin⁡2θgR = \frac{u^2 \sin 2\theta}{g}. For a given initial velocity, R∝sin⁡2θR \propto \sin 2\theta. The smallest value of sin⁡2θ\sin 2\theta corresponds to the smallest range, which is for θ=15∘\theta = 15^\circ.

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