At what angle of projectile (θ) is the horizontal range minimum?

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Editor">Editor Staff asked 1 year ago

At what angle of projectile (θ) is the horizontal range minimum?
 
(a) θ = 45°
 
(b) θ = 60°
 
(c) θ = 90°
 
(d) θ = 75°
 
The question was asked in quiz.
 
The question is from Simple Projectile Motion topic in division Motion in a Plane of Physics – Class 11
Select the correct answer from above options 
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Editor">Editor Staff answered 1 year ago

Correct choice is (c) θ = 90°
 
Explanation: The formula for horizontal range is R = v^2 (sin 2θ)/g. When θ = 90°, sin 2θ = sin 180° = 0. Hence, the range covered becomes 0. Since range cannot be negative, 0 is the minimum value it can attain.

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