Two projectiles are projected at angles ((π/4)+θ) and ((π/4)-θ) with the horizontal, where θ

Question

Two projectiles are projected at angles ((π/4)+θ) and ((π/4)-θ) with the horizontal, where θ < (π/4), with same speed. The ratio of horizontal ranges described by them is (A)  tan θ: 1 (B) 1: tan 2 θ (C) 1: 1 (D) 1: √3

Tardigrade Admin · Accepted Answer

The horizontal range is same when the angles of projection are complimentary to each other

Q. Two projectiles are projected at angles $(\frac{π}{4} + θ)$ and $(\frac{π}{4} - θ)$ with the horizontal, where $θ < \frac{π}{4}$ , with same speed. The ratio of horizontal ranges described by them is

$tan θ : 1$

$1 : tan^{2} θ$

$1 : 1$

$1 : 3$

The horizontal range is same when the angles of projection are complimentary to each other

Q. Two projectiles are projected at angles (4π​+θ) and (4π​−θ) with the horizontal, where θ<4π​, with same speed. The ratio of horizontal ranges described by them is

tanθ:1

1:tan2θ

1:1

1:3​

The horizontal range is same when the angles of projection are complimentary to each other

Q. Two projectiles are projected at angles $(\frac{π}{4} + θ)$ and $(\frac{π}{4} - θ)$ with the horizontal, where $θ < \frac{π}{4}$ , with same speed. The ratio of horizontal ranges described by them is

$tan θ : 1$

$1 : tan^{2} θ$

$1 : 1$

$1 : 3$