A particle is projected from the ground with velocity u at angle θ with horizontal. The horizontal range, maximum height and time of flight are R, H and T respectively. They are given by R = u² sin2θ/g, H = u² sin²θ/(2g) and T = 2u sinθ/g. Now keeping u as fixed, θ is varied from 30° to 60°. Then
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Question

A particle is projected from the ground with velocity u at angle θ with horizontal. The horizontal range, maximum height and time of flight are R, H and T respectively. They are given by R = u² sin2θ/g, H = u² sin²θ/(2g) and T = 2u sinθ/g. Now keeping u as fixed, θ is varied from 30° to 60°. Then

Options

G1 Physics · Accepted Answer

With u fixed, R ∝ sin2θ, so as θ changes from 30° to 60°, R first increases up to θ = 45° and then decreases. Meanwhile H ∝ sin²θ and T ∝ sinθ, both of which increase throughout 30° to 60°. Therefore option B.