Question

Assertion (A) The range of a projectile is maximum when the angle of projection is $45^{\circ}$.
Reason ( R ) The range of a projectile depends only on the 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 1

Answer: (C)

Assertion is true.
(A) The range of projectile is maximum when the angle of projection is $45^{\circ}$.
$R_{\max }=\frac{u^{2} \sin (2 \times 45)}{g}=\frac{u^{2}}{g}$
But reason (R) is false.
$\therefore $ Range of a projectile, $R=\frac{u^{2} \sin 2 \theta}{g}$
Hence, the range of projectile depends on the angle of projection $\theta$ and initial velocity $u$.
$\therefore ( A ) \rightarrow$ True
(B) $\rightarrow$ False