Assertion (A): Horizontal range is same for the angle of projecti… - Vidyadip

MCQ

Assertion (A): Horizontal range is same for the angle of projection $\theta$ and (90 - ).
Reason (R): Horizontal range is independent of angle of projection.

A
Both A and R are true and R is the correct explanation of A.
B
Both A and R are true but R is not the correct explanation of A.
C
A is true but R is false.
D
A is false but R is true.

✓

Answer

(c) A is true but R is false.
Explanation: Horizontal range, $R _1=\frac{u^2 \sin 20}{g}$ for angle $\theta$
$
\begin{aligned}
& R_2=\frac{u^2 \sin 2\left(90^{\circ}-\theta\right)}{g}=\frac{u^2 \sin 2 \theta}{g} \text { for angle }\left(90^{\circ}-\theta\right) \\
& \therefore R_1=R_2
\end{aligned}
$
Hence horizontal range is same for angle of projection $\theta$ and $\left(90^{\circ}-\theta\right)$ and the horizontal range depends on the angle of projection.

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