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.

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., Both (A) and (R) are true and (R) is the correct explanation of $(A)$., Both (A) and (R) are true but $(R)$ is not the correct explanation of $(A)$., (A) is true but (R) is false., (A) is false but $(R)$ is true.

MARKS App · Accepted Answer

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

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